Theorems · Theorem · ring theory
NonUnitalSubring.map_iSup
∀ {F : Type w} {R : Type u} {S : Type v} [inst : NonUnitalNonAssocRing R] [inst_1 : NonUnitalNonAssocRing S]
[inst_2 : FunLike F R S] [inst_3 : NonUnitalRingHomClass F R S] {ι : Sort u_1} (f : F) (s : ι → NonUnitalSubring R),
NonUnitalSubring.map f (iSup s) = ⨆ i, NonUnitalSubring.map f (s i)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 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.
- FunLikestatement and proof · cited by 2,560
- iSupstatement · cited by 2,415
- NonUnitalNonAssocRingstatement and proof · cited by 354
- NonUnitalSubringstatement and proof · cited by 185
- NonUnitalRingHomClassstatement and proof · cited by 82
- GaloisConnection.l_iSupproof · cited by 78
- NonUnitalSubring.mapstatement · cited by 19
- NonUnitalSubring.gc_map_comapproof · cited by 7
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