Theorems · Theorem · commutative algebra

LinearMap.extendScalarsOfSurjectiveEquiv.congr_simp

∀ {R : Type u_1} {S : Type u_2} [inst : CommSemiring R] [inst_1 : Semiring S] [inst_2 : Algebra R S] {M : Type u_3}
  {N : Type u_4} [inst_3 : AddCommMonoid M] [inst_4 : AddCommMonoid N] [inst_5 : Module R M] [inst_6 : Module S M]
  [inst_7 : IsScalarTower R S M] [inst_8 : Module R N] [inst_9 : Module S N] [inst_10 : IsScalarTower R S N]
  (h : Function.Surjective ⇑(algebraMap R S)),
  LinearMap.extendScalarsOfSurjectiveEquiv h = LinearMap.extendScalarsOfSurjectiveEquiv h

Defined in

Mathlib.RingTheory.Smooth.Basic

Cited by

0 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringAlgebraAddCommMonoidAddCommMonoidModuleModuleIsScalarTowerModuleModuleIsScalarTower