Theorems · Theorem · group theory
Submonoid.map_iSup
∀ {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 : Sort u_5} (f : F) (s : ι → Submonoid M),
Submonoid.map f (iSup s) = ⨆ i, Submonoid.map f (s i)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- GaloisConnection.l_iSupproof · cited by 78
- Submonoid.gc_map_comapproof · cited by 16
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