Theorems · Theorem · linear algebra

LinearMap.range_inr

∀ (R : Type u) (M : Type v) (M₂ : Type w) [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : AddCommMonoid M₂]
  [inst_3 : Module R M] [inst_4 : Module R M₂], (LinearMap.inr R M M₂).range = (LinearMap.fst R M M₂).ker

Defined in

Mathlib.LinearAlgebra.Prod

Cited by

3 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidAddCommMonoidModuleModule