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Theorems · Theorem · logic and foundations

Turing.ListBlank.induction_on

∀ {Γ : Type u_1} [inst : Inhabited Γ] {p : Turing.ListBlank Γ → Prop} (q : Turing.ListBlank Γ),
  (∀ (a : List Γ), p (Turing.ListBlank.mk a)) → p q
Defined in
Mathlib.Computability.TuringMachine.Tape
Cited by
5 results in Mathlib
Foundations
Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Inhabited
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Turing.ListBlank.nth_map · cited by 4ListBlank.nth_mapTuring.ListBlank.cons_flatMap · cited by 3ListBlank.cons_flatMapTuring.ListBlank.ext · cited by 3ListBlank.extTuring.TM2to1.addBottom_map · cited by 1TM2to1.addBottom_mapTuring.ListBlank.append_assoc · cited by 0ListBlank.append_assocQuotient.inductionOn' · cited by 69Quotient.inductionOn'Turing.ListBlank · cited by 68Turing.ListBlankTuring.ListBlank.mk · cited by 22ListBlank.mkListBlank.induction_onCITED BYCITES

Cites3

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Cited by5

Results whose statement or proof uses this declaration.