Theorems · Theorem · order theory
OrderIso.surjective
∀ {α : Type u_2} {β : Type u_3} [inst : LE α] [inst_1 : LE β] (e : α ≃o β), Function.Surjective ⇑e- Defined in
- Mathlib.Order.Hom.Basic
- Cited by
- 28 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses 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.
- DFunLike.coestatement · cited by 62,936
- OrderIsostatement and proof · cited by 874
- Equiv.surjectiveproof · cited by 198
- RelIso.toEquivproof · cited by 113
Cited by29
Results whose statement or proof uses this declaration.
- OrderIso.map_iInfproof · cited by 25
- OrderIso.map_iSupproof · cited by 25
- OrderIso.map_atTopproof · cited by 11
- OrderIso.comap_atTopproof · cited by 6
- CategoryTheory.Sieve.overEquiv_iffproof · cited by 4
- Cardinal.mk_biUnion_le_of_le_liftproof · cited by 3
- OrderIso.range_eqproof · cited by 3
- CategoryTheory.over_toGrothendieck_eq_toGrothendieck_comap_forgetproof · cited by 3
- map_prime_of_factor_orderIsoproof · cited by 2
- OrderIso.isBoundedUnder_ge_compproof · cited by 2
- OrderIso.isBoundedUnder_le_compproof · cited by 2
- Algebra.QuasiFiniteAt.exists_basicOpen_eq_singletonproof · cited by 2