Mathlib Map

Theorems · Definition · logic and foundations

Equiv.optionIsSomeEquiv

(α : Type u_4) → { x // x.isSome = true } ≃ α

The set of x : Option α such that isSome x is equivalent to α.

Defined in
Mathlib.Logic.Equiv.Option
Cited by
3 results in Mathlib
Foundations
Depth 14 from the axioms · uses no axioms
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Around this declaration

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

Finset.eraseNone · cited by 21Finset.eraseNoneFinset.mem_eraseNone · cited by 2Finset.mem_eraseNoneEquiv.optionIsSomeEquiv_symm_apply_coe · cited by 1Equiv.optionIsSomeEquiv_s…Equiv.optionIsSomeEquiv_apply · cited by 0Equiv.optionIsSomeEquiv_a…Equiv.sigmaOptionEquivOfSome · cited by 0Equiv.sigmaOptionEquivOfS…Equiv · cited by 8337EquivEquiv.optionIsSomeEquivCITED BYCITES

Cites1

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

  • Equivstatement · cited by 8,337

Cited by5

Results whose statement or proof uses this declaration.