Theorems · Theorem · logic and foundations
Computation.liftRel_map
∀ {α : Type u} {β : Type v} {γ : Type w} {δ : Type u_1} (R : α → β → Prop) (S : γ → δ → Prop) {s1 : Computation α}
{s2 : Computation β} {f1 : α → γ} {f2 : β → δ},
Computation.LiftRel R s1 s2 →
(∀ {a : α} {b : β}, R a b → S (f1 a) (f2 b)) → Computation.LiftRel S (Computation.map f1 s1) (Computation.map f2 s2)- Defined in
- Mathlib.Data.Seq.Computation
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, 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.
- Computationstatement and proof · cited by 182
- Computation.pureproof · cited by 61
- Computation.LiftRelstatement and proof · cited by 38
- Computation.bindproof · cited by 22
- Computation.mapstatement and proof · cited by 21
- Computation.liftRel_bindproof · cited by 5
- Computation.bind_pureproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- Stream'.WSeq.liftRel_mapproof · cited by 2
- Computation.map_congrproof · cited by 0