Theorems · Definition
Equiv.sigmaEquivProd
(α : Type u_1) → (β : Type u_2) → (_ : α) × β ≃ α × β
Sigma type with a constant fiber is equivalent to the product.
- Defined in
- Mathlib.Logic.Equiv.Defs
- Cited by
- 47 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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 by69
Results whose statement or proof uses this declaration.
- CategoryTheory.PreZeroHypercover.interproof · cited by 18
- Cardinal.sum_constproof · cited by 13
- CategoryTheory.PreOneHypercover.interproof · cited by 12
- Equiv.sigmaEquivProd_applystatement and proof · cited by 11
- Equiv.sigmaEquivProd_symm_applystatement and proof · cited by 11
- NumberField.mixedEmbedding.stdBasisproof · cited by 10
- Matrix.stdBasisproof · cited by 10
- Encodable.decode_prod_valproof · cited by 8
- AlgebraicGeometry.Scheme.Pullback.openCoverOfLeftRightproof · cited by 7
- HasSum.prod_fiberwiseproof · cited by 7
- AlgebraicGeometry.Scheme.Pullback.openCoverOfBaseproof · cited by 6
- MultilinearMap.freeDFinsuppEquivproof · cited by 5