Theorems · Definition · logic and foundations
Computation.recOn
{α : Type u} →
{motive : Computation α → Sort v} →
(s : Computation α) → ((a : α) → motive (Computation.pure a)) → ((s : Computation α) → motive s.think) → motive sRecursion principle for computations, compare with List.recOn.
- Defined in
- Mathlib.Data.Seq.Computation
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Stream'proof · cited by 205
- Computationstatement and proof · cited by 182
- Computation.purestatement and proof · cited by 61
- Computation.thinkstatement and proof · cited by 41
- Computation.destructproof · cited by 37
Cited by11
Results whose statement or proof uses this declaration.
- Computation.eq_of_bisimproof · cited by 12
- Computation.bind_pureproof · cited by 5
- Stream'.WSeq.destruct_flattenproof · cited by 4
- Computation.eq_thinkNproof · cited by 2
- Computation.of_results_bindproof · cited by 2
- Computation.destruct_mapproof · cited by 2
- Computation.LiftRelAux.ret_leftproof · cited by 1
- Computation.LiftRelRec.lemproof · cited by 1
- Computation.bind_assocproof · cited by 0
- Computation.orElse_emptyproof · cited by 0
- Computation.empty_orElseproof · cited by 0