Theorems · Definition · logic and foundations
Equiv.uniqueSigma
{α : Type u_10} → (β : α → Type u_9) → [inst : Unique α] → (i : α) × β i ≃ β defaultAny Unique type is a left identity for type sigma up to equivalence. Compare with uniqueProd
which is non-dependent.
- Defined in
- Mathlib.Logic.Equiv.Prod
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
- Assumes
- Unique
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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.
- CategoryTheory.PreZeroHypercover.pushforwardIsoBindproof · cited by 5
- AlgebraicGeometry.Scheme.IsLocallyDirected.openCoverproof · cited by 5
- Equiv.sigmaSigmaSubtypeproof · cited by 3
- finSigmaFinEquiv_applyproof · cited by 1
- CategoryTheory.PreZeroHypercover.pushforwardIsoBind_hom_h₀statement · cited by 0
- CategoryTheory.PreZeroHypercover.pushforwardIsoBind_inv_h₀statement · cited by 0
- CategoryTheory.PreZeroHypercover.pushforwardIsoBind_inv_s₀statement · cited by 0
- Equiv.uniqueSigma_applystatement · cited by 0
- Equiv.uniqueSigma_symm_applystatement · cited by 0
- finSigmaFinEquiv.eq_defstatement and proof · cited by 0