Mathlib Map

Theorems · Definition · logic and foundations

Computation.parallelRec

{α : Type u} →
  {S : Stream'.WSeq (Computation α)} →
    (C : α → Sort v) →
      ((s : Computation α) → s ∈ S → (a : α) → a ∈ s → C a) → {a : α} → a ∈ Computation.parallel S → C a

Induction principle for parallel computations. The reason this isn't trivial from exists_of_mem_parallel is because it eliminates to Sort.

Defined in
Mathlib.Data.Seq.Parallel
Cited by
0 results in Mathlib
Foundations
Depth 41 from the axioms · uses propext, Classical.choice, 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.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.