Theorems · Theorem · group theory
Submonoid.map_iSup_comap_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] {ι : Type u_5} {f : F},
Function.Surjective ⇑f → ∀ (S : ι → Submonoid N), Submonoid.map f (⨆ i, Submonoid.comap f (S i)) = iSup S- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- iSupstatement · cited by 2,415
- MulOneClassstatement and proof · cited by 1,018
- MonoidHomClassstatement and proof · cited by 244
- Submonoid.mapstatement · cited by 190
- Submonoid.comapstatement · cited by 179
- GaloisInsertion.l_iSup_uproof · cited by 12
- Submonoid.giMapComapproof · cited by 9
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