Theorems · Theorem · ring theory
NonUnitalSubring.map_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} [Nonempty ι] (f : F),
Function.Injective ⇑f →
∀ (s : ι → NonUnitalSubring R), NonUnitalSubring.map f (iInf s) = ⨅ i, NonUnitalSubring.map f (s i)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
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
- Set.imageproof · cited by 5,609
- FunLikestatement and proof · cited by 2,560
- iInfstatement and proof · cited by 1,690
- SetLike.coe_injectiveproof · cited by 374
- NonUnitalNonAssocRingstatement and proof · cited by 354
- NonUnitalSubringstatement and proof · cited by 185
- NonUnitalRingHomClassstatement and proof · cited by 82
- Set.injOn_of_injectiveproof · cited by 28
- Set.InjOn.image_iInter_eqproof · cited by 22
- NonUnitalSubring.mapstatement and proof · cited by 19
- NonUnitalSubring.coe_iInfproof · cited by 1
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