Theorems · Theorem · logic and foundations
EquivLike.range_eq_univ
∀ {α : Type u_1} {β : Type u_2} {E : Type u_3} [inst : EquivLike E α β] (e : E), Set.range ⇑e = Set.univ- Defined in
- Mathlib.Logic.Equiv.Set
- Cited by
- 27 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
- Assumes
- EquivLike
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.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Set.rangestatement · cited by 4,705
- Set.univstatement · cited by 3,945
- Equiv.surjectiveproof · cited by 198
- EquivLikestatement and proof · cited by 165
- EquivLike.toEquivproof · cited by 125
- Set.eq_univ_of_forallproof · cited by 80
Cited by27
Results whose statement or proof uses this declaration.
- Equiv.tsum_eqproof · cited by 44
- Homeomorph.map_nhds_eqproof · cited by 31
- Equiv.hasSum_iffproof · cited by 18
- Equiv.hasProd_iffproof · cited by 8
- Equiv.range_eq_univproof · cited by 6
- IsometryEquiv.range_eq_univproof · cited by 5
- Equiv.tprod_eqproof · cited by 5
- Set.dual_ordConnectedComponentproof · cited by 2
- map_coe_atBot_of_Ioo_subsetproof · cited by 2
- TFAE_mem_nhdsLEproof · cited by 2
- TFAE_mem_nhdsLTproof · cited by 2
- Homeomorph.range_coeproof · cited by 1