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Theorems · Theorem · ring theory

NonUnitalSubring.map_sup

∀ {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] (s t : NonUnitalSubring R) (f : F),
  NonUnitalSubring.map f (s ⊔ t) = NonUnitalSubring.map f s ⊔ NonUnitalSubring.map f t
Defined in
Mathlib.RingTheory.NonUnitalSubring.Basic
Cited by
0 results in Mathlib
Foundations
Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NonUnitalNonAssocRingNonUnitalNonAssocRingFunLikeNonUnitalRingHomClass
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FunLike · cited by 2560FunLikeNonUnitalNonAssocRing · cited by 354NonUnitalNonAssocRingNonUnitalSubring · cited by 185NonUnitalSubringNonUnitalRingHomClass · cited by 82NonUnitalRingHomClassGaloisConnection.l_sup · cited by 81GaloisConnection.l_supNonUnitalSubring.map · cited by 19NonUnitalSubring.mapNonUnitalSubring.gc_map_comap · cited by 7NonUnitalSubring.gc_map_c…NonUnitalSubring.map_supCITED BYCITES

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