Mathlib Map

Theorems · Definition

Equiv.piUnique

{α : Sort u} → [inst : Unique α] → (β : α → Sort u_1) → ((i : α) → β i) ≃ β default

The equivalence (∀ i, β i) ≃ β ⋆ when the domain of β only contains ⋆

Defined in
Mathlib.Logic.Equiv.Defs
Cited by
4 results in Mathlib
Foundations
Depth 10 from the axioms · uses Quot.sound
Assumes
Unique
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Equiv.funUnique · cited by 22Equiv.funUniqueMeasurableEquiv.piUnique · cited by 6MeasurableEquiv.piUniqueRingEquiv.piUnique · cited by 3RingEquiv.piUniqueHomeomorph.piUnique · cited by 3Homeomorph.piUniqueLinearEquiv.piUnique · cited by 3LinearEquiv.piUniqueAddEquiv.piUnique · cited by 2AddEquiv.piUniqueMulEquiv.piUnique · cited by 2MulEquiv.piUniqueEquiv.piUnique_apply · cited by 1Equiv.piUnique_applyEquiv.piUnique_symm_apply · cited by 1Equiv.piUnique_symm_applyLinearEquiv.piUnique_apply · cited by 0LinearEquiv.piUnique_applyLinearEquiv.piUnique_symm_apply · cited by 0LinearEquiv.piUnique_symm…Equiv · cited by 8337EquivUnique · cited by 400UniqueuniqueElim · cited by 29uniqueElimEquiv.piUniqueCITED BYCITES

Cites3

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

Cited by11

Results whose statement or proof uses this declaration.