Theorems · Theorem · commutative algebra

RingHom.CodescendsAlong.and

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

Defined in: Mathlib.RingTheory.RingHomProperties
Cited by: 1 results in Mathlib
Foundations: Depth 13 from the axioms · uses no axioms

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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
Algebraproof · cited by 11,388
RingHomstatement and proof · cited by 10,189
Algebra.algebraMapproof · cited by 4,706
IsScalarTowerproof · cited by 3,896
Algebra.IsPushoutproof · cited by 59
RingHom.CodescendsAlongstatement and proof · cited by 17

Cited by1

Results whose statement or proof uses this declaration.

RingHom.FaithfullyFlat.codescendsAlong_bijectiveproof · cited by 0