Theorems · Theorem · logic and foundations
Turing.Tape.map_move
∀ {Γ : Type u_1} {Γ' : Type u_2} [inst : Inhabited Γ] [inst_1 : Inhabited Γ'] (f : Turing.PointedMap Γ Γ')
(T : Turing.Tape Γ) (d : Turing.Dir),
Turing.Tape.map f (Turing.Tape.move d T) = Turing.Tape.move d (Turing.Tape.map f T)- Defined in
- Mathlib.Computability.TuringMachine.Tape
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Turing.ListBlankproof · cited by 68
- Turing.Tapestatement and proof · cited by 50
- Turing.ListBlank.consproof · cited by 31
- Turing.Dirstatement and proof · cited by 30
- Turing.ListBlank.tailproof · cited by 27
- Turing.ListBlank.headproof · cited by 27
- Turing.Tape.movestatement · cited by 25
- Turing.PointedMapstatement and proof · cited by 24
- Turing.PointedMap.fproof · cited by 24
- Turing.ListBlank.mapproof · cited by 19
- Turing.Tape.mapstatement · cited by 7
- Turing.Dir.casesOnproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Turing.TM0.Machine.map_stepproof · cited by 1