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Theorems · Theorem · logic and foundations

Computation.destruct_eq_pure

∀ {α : Type u} {s : Computation α} {a : α}, s.destruct = Sum.inl a → s = Computation.pure a
Defined in
Mathlib.Data.Seq.Computation
Cited by
10 results in Mathlib
Foundations
Depth 12 from the axioms · uses Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Stream'.WSeq.destruct_nil · cited by 12WSeq.destruct_nilStream'.WSeq.destruct_cons · cited by 11WSeq.destruct_consComputation.exists_of_mem_parallel · cited by 3Computation.exists_of_mem…Stream'.WSeq.destruct_ofSeq · cited by 2WSeq.destruct_ofSeqComputation.terminates_parallel · cited by 1Computation.terminates_pa…Computation.ret_orElse · cited by 1Computation.ret_orElseStream'.WSeq.toList'_nil · cited by 1WSeq.toList'_nilStream'.WSeq.toList_nil · cited by 1WSeq.toList_nilComputation.orElse_pure · cited by 1Computation.orElse_pureComputation.terminates_parallel.aux · cited by 1terminates_parallel.auxComputation · cited by 182ComputationComputation.pure · cited by 61Computation.pureComputation.destruct · cited by 37Computation.destructComputation.tail · cited by 14Computation.tailComputation.destruct_eq_pureCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by10

Results whose statement or proof uses this declaration.