Theorems · Theorem · logic and foundations
Turing.TM2to1.addBottom_modifyNth
∀ {K : Type u_1} {Γ : K → Type u_2} (f : ((k : K) → Option (Γ k)) → (k : K) → Option (Γ k))
(L : Turing.ListBlank ((k : K) → Option (Γ k))) (n : ℕ),
Turing.ListBlank.modifyNth (fun a => (a.1, f a.2)) n (Turing.TM2to1.addBottom L) =
Turing.TM2to1.addBottom (Turing.ListBlank.modifyNth f n L)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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.ListBlank.consproof · cited by 31
- Turing.ListBlank.tailproof · cited by 27
- Turing.ListBlank.headproof · cited by 27
- Turing.PointedMap.fproof · cited by 24
- Turing.ListBlank.mapproof · cited by 19
- Turing.ListBlank.head_consproof · cited by 18
- Turing.ListBlank.tail_consproof · cited by 17
- Turing.TM2to1.addBottomstatement · cited by 12
- Turing.ListBlank.modifyNthstatement and proof · cited by 6
- Turing.ListBlank.map_modifyNthproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Turing.TM2to1.tr_respects_aux₂proof · cited by 1