Theorems · Theorem · logic and foundations
Turing.Tape.map_fst
∀ {Γ : Type u_1} {Γ' : Type u_2} [inst : Inhabited Γ] [inst_1 : Inhabited Γ'] (f : Turing.PointedMap Γ Γ')
(T : Turing.Tape Γ), (Turing.Tape.map f T).head = f.f T.head- Defined in
- Mathlib.Computability.TuringMachine.Tape
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.PointedMapstatement and proof · cited by 24
- Turing.PointedMap.fstatement · cited by 24
- Turing.Tape.headstatement and proof · cited by 17
- Turing.Tape.mapstatement and proof · cited by 7
- Turing.Tape.casesOnproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Turing.TM0.Machine.map_stepproof · cited by 1