Theorems · Theorem · logic and foundations
Computation.ret_bind
∀ {α : Type u} {β : Type v} (a : α) (f : α → Computation β), (Computation.pure a).bind f = f a- Defined in
- Mathlib.Data.Seq.Computation
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.purestatement and proof · cited by 61
- Computation.destructproof · cited by 37
- Computation.bindstatement and proof · cited by 22
- Computation.corecproof · cited by 18
- Computation.corec_eqproof · cited by 15
- Computation.BisimOproof · cited by 13
- Computation.eq_of_bisimproof · cited by 12
- Computation.Bind.fproof · cited by 2
Cited by7
Results whose statement or proof uses this declaration.
- Computation.bind_pureproof · cited by 5
- Stream'.WSeq.destruct_flattenproof · cited by 4
- Stream'.WSeq.destruct_appendproof · cited by 3
- Computation.results_bindproof · cited by 2
- Computation.of_results_bindproof · cited by 2
- Stream'.WSeq.destruct_joinproof · cited by 1
- Computation.bind_assocproof · cited by 0