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Project-declaredLean 4.33.0-rc1 · mathlib@169c26b52a38

Wf lemma

Cslib.LambdaCalculus.LocallyNameless.Fsub.Typing.wf

Plain-language statement

Typings have well-formed contexts and types.

Exact Lean statement

@[grind →]
lemma wf {Γ : Env Var} {t : Term Var} {τ : Ty Var} (der : Typing Γ t τ) : Γ.Wf ∧ t.LC ∧ τ.Wf Γ

Formal artifact

Lean source

Canonical source
Full Lean sourceLean 4
@[grind ]lemma wf {Γ : Env Var} {t : Term Var} {τ : Ty Var} (der : Typing Γ t τ) : Γ.Wf  t.LC  τ.Wf Γ := by  induction der <;> let L := free_union Var <;> have x, nmem := fresh_exists L  case tabs ih =>    cases (ih x (by grind)).left    split_ands    · grind    · apply LC.tabs L <;> grind    · apply Ty.Wf.all L <;> grind  case abs ih =>    cases (ih x (by grind)).left    grind [LC.abs L, Wf.strengthen]  case let' => grind [LC.let' L, Ty.Wf.strengthen]  case case => refine ?_, LC.case L ?_ ?_ ?_, ?_ <;> grind [Ty.Wf.strengthen]  case var => grind [of_bind_ty]  case app => grind only [LC.app, cases Ty.Wf]  all_goals grind [open_lc]
Project
Lean Computer Science Library
License
Apache-2.0
Commit
f36649cff2c9
Source
Cslib/Languages/LambdaCalculus/LocallyNameless/Fsub/Typing.lean:67-83

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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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