Theorems · Theorem · group theory
Submonoid.comap_le_comap_iff_of_surjective
∀ {M : Type u_1} {N : Type u_2} [inst : MulOneClass M] [inst_1 : MulOneClass N] {F : Type u_4} [inst_2 : FunLike F M N]
[mc : MonoidHomClass F M N] {f : F},
Function.Surjective ⇑f → ∀ {S T : Submonoid N}, Submonoid.comap f S ≤ Submonoid.comap f T ↔ S ≤ T- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Submonoidstatement and proof · cited by 3,086
- FunLikestatement and proof · cited by 2,560
- MulOneClassstatement and proof · cited by 1,018
- MonoidHomClassstatement and proof · cited by 244
- Submonoid.comapstatement · cited by 179
- GaloisInsertion.u_le_u_iffproof · cited by 10
- Submonoid.giMapComapproof · cited by 9
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