Theorems · Theorem · general topology
PartialEquiv.surjective_of_target_eq_univ
∀ {α : Type u_1} {β : Type u_2} (e : PartialEquiv α β), e.target = Set.univ → Function.Surjective ↑e- Defined in
- Mathlib.Logic.Equiv.PartialEquiv
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.univstatement and proof · cited by 3,945
- PartialEquiv.sourceproof · cited by 964
- PartialEquiv.toFunstatement · cited by 821
- PartialEquiv.targetstatement and proof · cited by 650
- PartialEquivstatement and proof · cited by 335
- Set.SurjOn.monoproof · cited by 13
- PartialEquiv.surjOnproof · cited by 6
- Set.surjOn_univproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- surjective_stereographicproof · cited by 0
- PartialEquiv.surjective_symm_of_source_eq_univproof · cited by 0