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Theorems · Theorem · commutative algebra

Subring.map_sup

∀ {R : Type u} {S : Type v} [inst : NonAssocRing R] [inst_1 : NonAssocRing S] (s t : Subring R) (f : R →+* S),
  Subring.map f (s ⊔ t) = Subring.map f s ⊔ Subring.map f t
Defined in
Mathlib.Algebra.Ring.Subring.Basic
Cited by
2 results in Mathlib
Foundations
Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NonAssocRingNonAssocRing
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Subring.comap_map_eq · cited by 1Subring.comap_map_eqSubring.smul_sup · cited by 0Subring.smul_supRingHom · cited by 10189RingHomSubring · cited by 602SubringNonAssocRing · cited by 483NonAssocRingGaloisConnection.l_sup · cited by 81GaloisConnection.l_supSubring.map · cited by 33Subring.mapSubring.gc_map_comap · cited by 7Subring.gc_map_comapSubring.map_supCITED BYCITES

Cites6

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Cited by2

Results whose statement or proof uses this declaration.