Theorems · Theorem · general topology
PartialEquiv.refl_prod_refl
∀ {α : Type u_1} {β : Type u_2}, (PartialEquiv.refl α).prod (PartialEquiv.refl β) = PartialEquiv.refl (α × β)- Defined in
- Mathlib.Logic.Equiv.PartialEquiv
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.extproof · cited by 2,266
- PartialEquiv.toFunproof · cited by 821
- PartialEquivstatement · cited by 335
- PartialEquiv.reflstatement and proof · cited by 43
- Set.univ_prod_univproof · cited by 32
- PartialEquiv.prodstatement · cited by 29
- PartialEquiv.extproof · cited by 19
- PartialEquiv.prod_symmproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- modelWithCornersSelf_prodproof · cited by 10
- tangentBundle_model_space_chartAtproof · cited by 4