Mathlib Map

Theorems · Definition

Equiv.equivPUnit

(α : Sort u) → [Unique α] → α ≃ PUnit.{v}

If α has a unique element, then it is equivalent to any PUnit.

Defined in
Mathlib.Logic.Equiv.Defs
Cited by
3 results in Mathlib
Foundations
Depth 11 from the axioms · uses no axioms
Assumes
Unique
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Equiv.sigmaUnique · cited by 8Equiv.sigmaUniqueEquiv.uniqueProd · cited by 8Equiv.uniqueProdEquiv.prodUnique · cited by 6Equiv.prodUniqueIsTranscendenceBasis.polynomial · cited by 1IsTranscendenceBasis.poly…Equiv.equivPUnit_apply · cited by 0Equiv.equivPUnit_applyEquiv.equivPUnit_symm_apply · cited by 0Equiv.equivPUnit_symm_app…Equiv.propEquivPUnit · cited by 0Equiv.propEquivPUnitfinOneEquiv · cited by 0finOneEquivEquiv · cited by 8337EquivUnique · cited by 400UniqueEquiv.ofUnique · cited by 5Equiv.ofUniqueEquiv.equivPUnitCITED BYCITES

Cites3

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

Cited by8

Results whose statement or proof uses this declaration.