Theorems · Theorem · group theory
Subsemigroup.comap_iSup_map_of_injective
∀ {M : Type u_1} {N : Type u_2} [inst : Mul M] [inst_1 : Mul N] {ι : Type u_5} {f : M →ₙ* N},
Function.Injective ⇑f → ∀ (S : ι → Subsemigroup M), Subsemigroup.comap f (⨆ i, Subsemigroup.map f (S i)) = iSup S- Cited by
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- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, 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
- iSupstatement · cited by 2,415
- Subsemigroupstatement and proof · cited by 323
- MulHomstatement and proof · cited by 299
- Subsemigroup.mapstatement · cited by 51
- Subsemigroup.comapstatement · cited by 39
- GaloisCoinsertion.u_iSup_lproof · cited by 9
- Subsemigroup.gciMapComapproof · cited by 9
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