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Project-declaredLean 4.33.0-rc1 · mathlib@169c26b52a38

Red le parallel Reduction

Cslib.SKI.Red.le_parallelReduction

Plain-language statement

The inclusion (· ⭢ ·) ≤ (· ⭢ₚ ·).

Exact Lean statement

theorem Red.le_parallelReduction :
    (· ⭢ ·) ≤ (· ⭢ₚ ·)

Formal artifact

Lean source

Canonical source
Full Lean sourceLean 4
theorem Red.le_parallelReduction :    (··)  (· ⭢ₚ ·) := by  intro a a' h  cases h  case red_S => apply ParallelReduction.red_S  case red_K => apply ParallelReduction.red_K  case red_I => apply ParallelReduction.red_I  case red_head a a' b h =>    apply ParallelReduction.par    · exact h.le_parallelReduction    · exact ParallelReduction.refl b  case red_tail a b b' h =>    apply ParallelReduction.par    · exact ParallelReduction.refl a    · exact h.le_parallelReduction
Project
Lean Computer Science Library
License
Apache-2.0
Commit
f36649cff2c9
Source
Cslib/Languages/CombinatoryLogic/Confluence.lean:77-91

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Related declarations

Project-declaredLean 4.33.0-rc1

Unique minimal

Cslib.Automata.DA.FinAcc.unique_minimal

Plain-language statement

The minimal DFA M accepting the language l is unique up to unique isomorphism.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Buchi Family cover

Cslib.Automata.NA.Buchi.buchiFamily_cover

Project documentation

na.buchiFamily is a cover if na has only finitely many states. This theorem uses the Ramsey theorem for infinite graphs and does not depend on any details of na.BuchiCongruence other than that it is of finite index.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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