Theorems · Theorem · commutative algebra
RingHom.StableUnderComposition.and
∀ {P Q : {R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop},
(RingHom.StableUnderComposition fun {R S} [CommRing R] [CommRing S] => P) →
(RingHom.StableUnderComposition fun {R S} [CommRing R] [CommRing S] => Q) →
RingHom.StableUnderComposition fun {R S} [CommRing R] [CommRing S] f => P f ∧ Q f- Defined in
- Mathlib.RingTheory.RingHomProperties
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- RingHomstatement and proof · cited by 10,189
- RingHom.StableUnderCompositionstatement and proof · cited by 26
Cited by1
Results whose statement or proof uses this declaration.
- RingHom.Etale.stableUnderCompositionproof · cited by 0