Theorems · Theorem · category theory

RingHom.HasEqualizers.isClosedUnderLimitsOfShape

∀ {Q : {R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop},
  (RingHom.RespectsIso fun {R S} [CommRing R] [CommRing S] => Q) →
    (RingHom.HasEqualizers fun {R S} [CommRing R] [CommRing S] => Q) →
      ∀ (R : CommRingCat),
        (RingHom.toMorphismProperty fun {R S} [CommRing R] [CommRing S] => Q).underObj.IsClosedUnderLimitsOfShape
          CategoryTheory.Limits.WalkingParallelPair

Defined in

Mathlib.Algebra.Category.Ring.Under.Property

Cited by

0 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound