Theorems · Theorem · logic and foundations
Computation.of_results_bind
∀ {α : Type u} {β : Type v} {s : Computation α} {f : α → Computation β} {b : β} {k : ℕ},
(s.bind f).Results b k → ∃ a m n, s.Results a m ∧ (f a).Results b n ∧ k = n + m- Defined in
- Mathlib.Data.Seq.Computation
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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.thinkproof · cited by 41
- Computation.bindstatement and proof · cited by 22
- Computation.Resultsstatement and proof · cited by 20
- Computation.recOnproof · cited by 11
- Computation.thinkNproof · cited by 10
- Computation.think_bindproof · cited by 7
- Computation.ret_bindproof · cited by 7
- Computation.headproof · cited by 5
- Computation.results_pureproof · cited by 4
- Computation.results_thinkproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Computation.exists_of_mem_bindproof · cited by 6
- Stream'.WSeq.liftRel_join.lemproof · cited by 1