Theorems · Definition · logic and foundations
Equiv.pprodProd
{α₁ : Sort u_2} → {β₁ : Sort u_5} → {α₂ : Type u_9} → {β₂ : Type u_10} → α₁ ≃ α₂ → β₁ ≃ β₂ → α₁ ×' β₁ ≃ α₂ × β₂Combine two equivalences using PProd in the domain and Prod in the codomain.
- Defined in
- Mathlib.Logic.Equiv.Prod
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement and proof · cited by 8,337
- Equiv.transproof · cited by 337
- Equiv.pprodEquivProdproof · cited by 4
- Equiv.pprodCongrproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- Equiv.pprodEquivProdPLiftproof · cited by 2
- Equiv.prodPProdproof · cited by 2
- Equiv.pprodProd_applystatement and proof · cited by 0
- Equiv.pprodProd_symm_applystatement and proof · cited by 0