Theorems · Definition · logic and foundations
Equiv.prodUnique
(α : Type u_9) → (β : Type u_10) → [Unique β] → α × β ≃ α
Any Unique type is a right identity for type product up to equivalence.
- Defined in
- Mathlib.Logic.Equiv.Prod
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
- Assumes
- Unique
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement · cited by 8,337
- Uniquestatement and proof · cited by 400
- Equiv.transproof · cited by 337
- Equiv.reflproof · cited by 274
- Equiv.prodCongrproof · cited by 24
- Equiv.equivPUnitproof · cited by 3
- Equiv.prodPUnitproof · cited by 2
Cited by11
Results whose statement or proof uses this declaration.
- TensorProduct.directSumLeftproof · cited by 7
- TensorProduct.directSumLeft_tmul_lofproof · cited by 3
- IsometryEquiv.withLpProdUniqueproof · cited by 3
- MulEquiv.prodUniqueproof · cited by 3
- AddEquiv.prodUniqueproof · cited by 3
- Homeomorph.prodUniqueproof · cited by 3
- Equiv.coe_prodUniquestatement · cited by 0
- Equiv.prodUnique_symm_applystatement · cited by 0
- ContinuousLinearEquiv.coe_prodUniquestatement · cited by 0
- LinearEquiv.coe_prodUniquestatement · cited by 0
- Equiv.prodUnique_applystatement · cited by 0