Plain-English reading. Lean checks the proposition indexed as “warm robin figure 4 indicator basis equiv clean”; the hypotheses and conclusion in the code panel fix its exact scope.

Formal status. Compiled theorem in the default ASPBE import surface; the displayed Lean signature is the authoritative claim.

Why it is in this chapter. Paper-facing backend models and concrete Robin-boundary example artifacts.

Technical source note. The source declaration has no docstring. The reader cue above is generated from its kind and name and does not replace the Lean signature.

Declaration kind. theorem.

Source: QuantumBlockEncoding/Robin/Figure4MiddlePrimitive.lean:17. A commit-pinned external link is added by the publication build when the source exists at the published ref.

Plain-English reading. Lean checks the proposition indexed as “warm robin figure 4 bulk assignment transport input”; the hypotheses and conclusion in the code panel fix its exact scope.

Formal status. Compiled theorem in the default ASPBE import surface; the displayed Lean signature is the authoritative claim.

Why it is in this chapter. Paper-facing backend models and concrete Robin-boundary example artifacts.

Technical source note. The source declaration has no docstring. The reader cue above is generated from its kind and name and does not replace the Lean signature.

Declaration kind. theorem.

Source: QuantumBlockEncoding/Robin/Figure4MiddlePrimitive.lean:25. A commit-pinned external link is added by the publication build when the source exists at the published ref.

Plain-English reading. Lean checks the proposition indexed as “warm robin figure 4 boundary assignment transport input”; the hypotheses and conclusion in the code panel fix its exact scope.

Formal status. Compiled theorem in the default ASPBE import surface; the displayed Lean signature is the authoritative claim.

Why it is in this chapter. Paper-facing backend models and concrete Robin-boundary example artifacts.

Technical source note. The source declaration has no docstring. The reader cue above is generated from its kind and name and does not replace the Lean signature.

Declaration kind. theorem.

Source: QuantumBlockEncoding/Robin/Figure4MiddlePrimitive.lean:34. A commit-pinned external link is added by the publication build when the source exists at the published ref.

Plain-English reading. Lean checks the proposition indexed as “warm robin figure 4 derivative loader physical clean entry”; the hypotheses and conclusion in the code panel fix its exact scope. The physical loader's clean coefficient entry is the exact source coefficient.

Formal status. Compiled theorem in the default ASPBE import surface; the displayed Lean signature is the authoritative claim.

Why it is in this chapter. Paper-facing backend models and concrete Robin-boundary example artifacts.

Technical source note. The physical loader's clean coefficient entry is the exact source coefficient. The proof reduces the two nine-wire block diagonals to their single two-dimensional standard-RY product.

Declaration kind. theorem.

Source: QuantumBlockEncoding/Robin/Figure4MiddlePrimitive.lean:46. A commit-pinned external link is added by the publication build when the source exists at the published ref.

Plain-English reading. Lean checks the proposition indexed as “warm robin figure 4 transport input split coefficient fst”; the hypotheses and conclusion in the code panel fix its exact scope.

Formal status. Compiled theorem in the default ASPBE import surface; the displayed Lean signature is the authoritative claim.

Why it is in this chapter. Paper-facing backend models and concrete Robin-boundary example artifacts.

Technical source note. The source declaration has no docstring. The reader cue above is generated from its kind and name and does not replace the Lean signature.

Declaration kind. theorem.

Source: QuantumBlockEncoding/Robin/Figure4MiddlePrimitive.lean:65. A commit-pinned external link is added by the publication build when the source exists at the published ref.

Plain-English reading. Lean checks the proposition indexed as “warm robin figure 4 transport input split coefficient context”; the hypotheses and conclusion in the code panel fix its exact scope.

Formal status. Compiled theorem in the default ASPBE import surface; the displayed Lean signature is the authoritative claim.

Why it is in this chapter. Paper-facing backend models and concrete Robin-boundary example artifacts.

Technical source note. The source declaration has no docstring. The reader cue above is generated from its kind and name and does not replace the Lean signature.

Declaration kind. theorem.

Source: QuantumBlockEncoding/Robin/Figure4MiddlePrimitive.lean:72. A commit-pinned external link is added by the publication build when the source exists at the published ref.

Plain-English reading. Lean checks the proposition indexed as “warm robin figure 4 transport input split coefficient context iff”; the hypotheses and conclusion in the code panel fix its exact scope.

Formal status. Compiled theorem in the default ASPBE import surface; the displayed Lean signature is the authoritative claim.

Why it is in this chapter. Paper-facing backend models and concrete Robin-boundary example artifacts.

Technical source note. The source declaration has no docstring. The reader cue above is generated from its kind and name and does not replace the Lean signature.

Declaration kind. theorem.

Source: QuantumBlockEncoding/Robin/Figure4MiddlePrimitive.lean:80. A commit-pinned external link is added by the publication build when the source exists at the published ref.

Plain-English reading. Lean checks the proposition indexed as “warm robin figure 4 derivative loader entry”; the hypotheses and conclusion in the code panel fix its exact scope.

Formal status. Compiled theorem in the default ASPBE import surface; the displayed Lean signature is the authoritative claim.

Why it is in this chapter. Paper-facing backend models and concrete Robin-boundary example artifacts.

Technical source note. The source declaration has no docstring. The reader cue above is generated from its kind and name and does not replace the Lean signature.

Declaration kind. theorem.

Source: QuantumBlockEncoding/Robin/Figure4MiddlePrimitive.lean:93. A commit-pinned external link is added by the publication build when the source exists at the published ref.

Plain-English reading. Lean checks the proposition indexed as “warm robin figure 4 register swap program eval full”; the hypotheses and conclusion in the code panel fix its exact scope.

Formal status. Compiled theorem in the default ASPBE import surface; the displayed Lean signature is the authoritative claim.

Why it is in this chapter. Paper-facing backend models and concrete Robin-boundary example artifacts.

Technical source note. The source declaration has no docstring. The reader cue above is generated from its kind and name and does not replace the Lean signature.

Declaration kind. theorem.

Source: QuantumBlockEncoding/Robin/Figure4MiddlePrimitive.lean:162. A commit-pinned external link is added by the publication build when the source exists at the published ref.

Plain-English reading. Lean checks the proposition indexed as “warm robin figure 4 homogeneous program eval”; the hypotheses and conclusion in the code panel fix its exact scope.

Formal status. Compiled theorem in the default ASPBE import surface; the displayed Lean signature is the authoritative claim.

Why it is in this chapter. Paper-facing backend models and concrete Robin-boundary example artifacts.

Technical source note. The source declaration has no docstring. The reader cue above is generated from its kind and name and does not replace the Lean signature.

Declaration kind. theorem.

Source: QuantumBlockEncoding/Robin/Figure4MiddlePrimitive.lean:172. A commit-pinned external link is added by the publication build when the source exists at the published ref.

Plain-English reading. Lean checks the proposition indexed as “warm robin figure 4 post loader program eval”; the hypotheses and conclusion in the code panel fix its exact scope.

Formal status. Compiled theorem in the default ASPBE import surface; the displayed Lean signature is the authoritative claim.

Why it is in this chapter. Paper-facing backend models and concrete Robin-boundary example artifacts.

Technical source note. The source declaration has no docstring. The reader cue above is generated from its kind and name and does not replace the Lean signature.

Declaration kind. theorem.

Source: QuantumBlockEncoding/Robin/Figure4MiddlePrimitive.lean:190. A commit-pinned external link is added by the publication build when the source exists at the published ref.

Plain-English reading. Lean checks the proposition indexed as “warm robin figure 4 post loader clean action”; the hypotheses and conclusion in the code panel fix its exact scope. The post-loader basis permutation restores both work wires and the physical selector, while transporting the selected source row into the system register.

Formal status. Compiled theorem in the default ASPBE import surface; the displayed Lean signature is the authoritative claim.

Why it is in this chapter. Paper-facing backend models and concrete Robin-boundary example artifacts.

Technical source note. The post-loader basis permutation restores both work wires and the physical selector, while transporting the selected source row into the system register.

Declaration kind. theorem.

Source: QuantumBlockEncoding/Robin/Figure4MiddlePrimitive.lean:213. A commit-pinned external link is added by the publication build when the source exists at the published ref.

Plain-English reading. Lean checks the proposition indexed as “warm robin figure 4 source dt column inverse”; the hypotheses and conclusion in the code panel fix its exact scope.

Formal status. Compiled theorem in the default ASPBE import surface; the displayed Lean signature is the authoritative claim.

Why it is in this chapter. Paper-facing backend models and concrete Robin-boundary example artifacts.

Technical source note. The source declaration has no docstring. The reader cue above is generated from its kind and name and does not replace the Lean signature.

Declaration kind. theorem.

Source: QuantumBlockEncoding/Robin/Figure4MiddlePrimitive.lean:252. A commit-pinned external link is added by the publication build when the source exists at the published ref.

Plain-English reading. Lean checks the proposition indexed as “warm robin figure 4 source dt column eq iff”; the hypotheses and conclusion in the code panel fix its exact scope.

Formal status. Compiled theorem in the default ASPBE import surface; the displayed Lean signature is the authoritative claim.

Why it is in this chapter. Paper-facing backend models and concrete Robin-boundary example artifacts.

Technical source note. The source declaration has no docstring. The reader cue above is generated from its kind and name and does not replace the Lean signature.

Declaration kind. theorem.

Source: QuantumBlockEncoding/Robin/Figure4MiddlePrimitive.lean:257. A commit-pinned external link is added by the publication build when the source exists at the published ref.

Plain-English reading. Lean checks the proposition indexed as “warm robin figure 4 post loader inverse clean action”; the hypotheses and conclusion in the code panel fix its exact scope.

Formal status. Compiled theorem in the default ASPBE import surface; the displayed Lean signature is the authoritative claim.

Why it is in this chapter. Paper-facing backend models and concrete Robin-boundary example artifacts.

Technical source note. The source declaration has no docstring. The reader cue above is generated from its kind and name and does not replace the Lean signature.

Declaration kind. theorem.

Source: QuantumBlockEncoding/Robin/Figure4MiddlePrimitive.lean:263. A commit-pinned external link is added by the publication build when the source exists at the published ref.

Plain-English reading. Lean checks the proposition indexed as “warm robin figure 4 middle program eval”; the hypotheses and conclusion in the code panel fix its exact scope.

Formal status. Compiled theorem in the default ASPBE import surface; the displayed Lean signature is the authoritative claim.

Why it is in this chapter. Paper-facing backend models and concrete Robin-boundary example artifacts.

Technical source note. The source declaration has no docstring. The reader cue above is generated from its kind and name and does not replace the Lean signature.

Declaration kind. theorem.

Source: QuantumBlockEncoding/Robin/Figure4MiddlePrimitive.lean:280. A commit-pinned external link is added by the publication build when the source exists at the published ref.

Plain-English reading. Lean checks the proposition indexed as “warm robin figure 4 middle program clean entry”; the hypotheses and conclusion in the code panel fix its exact scope.

Formal status. Compiled theorem in the default ASPBE import surface; the displayed Lean signature is the authoritative claim.

Why it is in this chapter. Paper-facing backend models and concrete Robin-boundary example artifacts.

Technical source note. The source declaration has no docstring. The reader cue above is generated from its kind and name and does not replace the Lean signature.

Declaration kind. theorem.

Source: QuantumBlockEncoding/Robin/Figure4MiddlePrimitive.lean:291. A commit-pinned external link is added by the publication build when the source exists at the published ref.

Plain-English reading. Lean checks the proposition indexed as “warm robin figure 4 after indicator”; the hypotheses and conclusion in the code panel fix its exact scope.

Formal status. Compiled theorem in the default ASPBE import surface; the displayed Lean signature is the authoritative claim.

Why it is in this chapter. Paper-facing backend models and concrete Robin-boundary example artifacts.

Technical source note. The source declaration has no docstring. The reader cue above is generated from its kind and name and does not replace the Lean signature.

Declaration kind. theorem.

Source: QuantumBlockEncoding/Robin/Figure4MiddlePrimitive.lean:321. A commit-pinned external link is added by the publication build when the source exists at the published ref.

Plain-English reading. Lean checks the proposition indexed as “warm robin figure 4 after derivative loader”; the hypotheses and conclusion in the code panel fix its exact scope.

Formal status. Compiled theorem in the default ASPBE import surface; the displayed Lean signature is the authoritative claim.

Why it is in this chapter. Paper-facing backend models and concrete Robin-boundary example artifacts.

Technical source note. The source declaration has no docstring. The reader cue above is generated from its kind and name and does not replace the Lean signature.

Declaration kind. theorem.

Source: QuantumBlockEncoding/Robin/Figure4MiddlePrimitive.lean:331. A commit-pinned external link is added by the publication build when the source exists at the published ref.

Plain-English reading. Lean checks the proposition indexed as “warm robin figure 4 after dt sparse access”; the hypotheses and conclusion in the code panel fix its exact scope.

Formal status. Compiled theorem in the default ASPBE import surface; the displayed Lean signature is the authoritative claim.

Why it is in this chapter. Paper-facing backend models and concrete Robin-boundary example artifacts.

Technical source note. The source declaration has no docstring. The reader cue above is generated from its kind and name and does not replace the Lean signature.

Declaration kind. theorem.

Source: QuantumBlockEncoding/Robin/Figure4MiddlePrimitive.lean:341. A commit-pinned external link is added by the publication build when the source exists at the published ref.

Plain-English reading. Lean checks the proposition indexed as “warm robin figure 4 after indicator cleanup”; the hypotheses and conclusion in the code panel fix its exact scope.

Formal status. Compiled theorem in the default ASPBE import surface; the displayed Lean signature is the authoritative claim.

Why it is in this chapter. Paper-facing backend models and concrete Robin-boundary example artifacts.

Technical source note. The source declaration has no docstring. The reader cue above is generated from its kind and name and does not replace the Lean signature.

Declaration kind. theorem.

Source: QuantumBlockEncoding/Robin/Figure4MiddlePrimitive.lean:351. A commit-pinned external link is added by the publication build when the source exists at the published ref.

Plain-English reading. Lean checks the proposition indexed as “warm robin figure 4 after swap”; the hypotheses and conclusion in the code panel fix its exact scope.

Formal status. Compiled theorem in the default ASPBE import surface; the displayed Lean signature is the authoritative claim.

Why it is in this chapter. Paper-facing backend models and concrete Robin-boundary example artifacts.

Technical source note. The source declaration has no docstring. The reader cue above is generated from its kind and name and does not replace the Lean signature.

Declaration kind. theorem.

Source: QuantumBlockEncoding/Robin/Figure4MiddlePrimitive.lean:361. A commit-pinned external link is added by the publication build when the source exists at the published ref.

Plain-English reading. Lean checks the proposition indexed as “warm robin figure 4 after transported cleanup”; the hypotheses and conclusion in the code panel fix its exact scope.

Formal status. Compiled theorem in the default ASPBE import surface; the displayed Lean signature is the authoritative claim.

Why it is in this chapter. Paper-facing backend models and concrete Robin-boundary example artifacts.

Technical source note. The source declaration has no docstring. The reader cue above is generated from its kind and name and does not replace the Lean signature.

Declaration kind. theorem.

Source: QuantumBlockEncoding/Robin/Figure4MiddlePrimitive.lean:371. A commit-pinned external link is added by the publication build when the source exists at the published ref.