Theorems · Theorem · ring theory
NonUnitalSubring.comap_iInf
∀ {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 S),
NonUnitalSubring.comap f (iInf s) = ⨅ i, NonUnitalSubring.comap 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
- iInfstatement · cited by 1,690
- NonUnitalNonAssocRingstatement and proof · cited by 354
- NonUnitalSubringstatement and proof · cited by 185
- NonUnitalRingHomClassstatement and proof · cited by 82
- GaloisConnection.u_iInfproof · cited by 40
- NonUnitalSubring.comapstatement · cited by 15
- NonUnitalSubring.gc_map_comapproof · cited by 7
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