Theorems · Theorem · commutative algebra

Algebra.IsPushout.symm

∀ {R : Type u_1} {S : Type v₃} [inst : CommSemiring R] [inst_1 : CommSemiring S] [inst_2 : Algebra R S] {R' : Type u_6}
  {S' : Type u_7} [inst_3 : CommSemiring R'] [inst_4 : CommSemiring S'] [inst_5 : Algebra R R'] [inst_6 : Algebra S S']
  [inst_7 : Algebra R' S'] [inst_8 : Algebra R S'] [inst_9 : IsScalarTower R R' S'] [inst_10 : IsScalarTower R S S'],
  Algebra.IsPushout R S R' S' → Algebra.IsPushout R R' S S'

Defined in

Mathlib.RingTheory.IsTensorProduct

Cited by

7 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringCommSemiringAlgebraCommSemiringCommSemiringAlgebraAlgebraAlgebraAlgebraIsScalarTowerIsScalarTower