Source-pinned research

Research proof index

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This index contains 136 research declarations. Search 10,000 more complete Mathlib declarations.

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Project-declaredLean 4.33.0-rc1

Posterior Dist eq prior of output Indist

Cslib.Probability.PMF.posteriorDist_eq_prior_of_outputIndist

Plain-language statement

If the output distribution of a channel does not depend on the input, then conditioning on any output with positive probability leaves the prior unchanged.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Parallel Reduction diamond

Cslib.SKI.parallelReduction_diamond

Plain-language statement

The key result: the Church-Rosser property holds for ⭢ₚ. The proof is a lengthy case analysis on the reductions a ⭢ₚ a₁ and a ⭢ₚ a₂, but is entirely mechanical.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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