Theorems · Theorem · ring theory

TrivSqZeroExt.fstHom_apply

∀ (S : Type u_1) (R : Type u) (M : Type v) [inst : CommSemiring S] [inst_1 : Semiring R] [inst_2 : AddCommMonoid M]
  [inst_3 : Algebra S R] [inst_4 : Module S M] [inst_5 : Module R M] [inst_6 : Module Rᵐᵒᵖ M]
  [inst_7 : SMulCommClass R Rᵐᵒᵖ M] [inst_8 : IsScalarTower S R M] [inst_9 : IsScalarTower S Rᵐᵒᵖ M]
  (x : TrivSqZeroExt R M), (TrivSqZeroExt.fstHom S R M) x = x.fst

Defined in

Mathlib.Algebra.TrivSqZeroExt.Basic

Cited by

1 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringAddCommMonoidAlgebraModuleModuleModuleSMulCommClassIsScalarTowerIsScalarTower