Theorems · Theorem · logic and foundations
Turing.ListBlank.nth_zero
∀ {Γ : Type u_1} [inst : Inhabited Γ] (l : Turing.ListBlank Γ), l.nth 0 = l.head- Defined in
- Mathlib.Computability.TuringMachine.Tape
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Inhabited
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.
- Quotient.mk''proof · cited by 132
- Quotient.inductionOn'proof · cited by 69
- Turing.ListBlankstatement and proof · cited by 68
- Turing.ListBlank.consproof · cited by 31
- Turing.ListBlank.tailproof · cited by 27
- Turing.ListBlank.headstatement and proof · cited by 27
- Turing.ListBlank.nthstatement and proof · cited by 17
- Turing.ListBlank.cons_head_tailproof · cited by 13
Cited by4
Results whose statement or proof uses this declaration.
- Turing.ListBlank.nth_modifyNthproof · cited by 1
- Turing.Tape.right₀_nthproof · cited by 1
- Turing.Tape.move_left_nthproof · cited by 1
- Turing.Tape.write_move_right_nproof · cited by 1