Theorems · Theorem · ring theory

DirectSum.lid_symm_apply

∀ (R : Type u) [inst : Semiring R] {M : Type v} {ι : Type u_1} [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  [inst_3 : Unique ι] (x : M), (DirectSum.lid R M ι).symm x = (DirectSum.lof R ι (fun i => M) default) x

Defined in

Mathlib.Algebra.DirectSum.Module

Cited by

2 results in Mathlib

Foundations

Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModuleUnique