Theorems · Theorem · logic and foundations
Computation.mem_bind
∀ {α : Type u} {β : Type v} {s : Computation α} {f : α → Computation β} {a : α} {b : β}, a ∈ s → b ∈ f a → b ∈ s.bind f- Defined in
- Mathlib.Data.Seq.Computation
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.bindstatement and proof · cited by 22
- Computation.Resultsproof · cited by 20
- Computation.Results.memproof · cited by 9
- Computation.exists_results_of_memproof · cited by 3
- Computation.results_bindproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- Computation.mem_mapproof · cited by 6
- Computation.liftRel_bindproof · cited by 5
- Stream'.WSeq.liftRel_join.lemproof · cited by 1
- Computation.get_bindproof · cited by 0
- Computation.bind_congrproof · cited by 0