Theorems · Theorem · logic and foundations
Turing.ListBlank.nth_map
∀ {Γ : Type u_1} {Γ' : Type u_2} [inst : Inhabited Γ] [inst_1 : Inhabited Γ'] (f : Turing.PointedMap Γ Γ')
(l : Turing.ListBlank Γ) (n : ℕ), (Turing.ListBlank.map f l).nth n = f.f (l.nth n)- Defined in
- Mathlib.Computability.TuringMachine.Tape
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Turing.ListBlankstatement and proof · cited by 68
- Turing.PointedMapstatement and proof · cited by 24
- Turing.PointedMap.fstatement and proof · cited by 24
- Turing.ListBlank.mapstatement · cited by 19
- Turing.ListBlank.nthstatement · cited by 17
- Turing.ListBlank.induction_onproof · cited by 5
- Turing.PointedMap.map_ptproof · cited by 3
- List.getD_mapproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- Turing.TM2to1.addBottom_nth_sndproof · cited by 3
- Turing.proj_map_nthproof · cited by 2
- Turing.TM2to1.addBottom_nth_succ_fstproof · cited by 2
- Turing.TM2to1.tr_respects_aux₂proof · cited by 1