Theorems · Theorem · commutative algebra

RingHom.PropertyIsLocal.and

∀ {P Q : {R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop},
  (RingHom.PropertyIsLocal fun {R S} [CommRing R] [CommRing S] => P) →
    (RingHom.PropertyIsLocal fun {R S} [CommRing R] [CommRing S] => Q) →
      RingHom.PropertyIsLocal fun {R S} [CommRing R] [CommRing S] f => P f ∧ Q f

Defined in

Mathlib.RingTheory.LocalProperties.Basic

Cited by

2 results in Mathlib

Foundations

Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound