Theorems · Theorem · category theory

Function.Exact.linearMap_comp_eq_zero

∀ {R : Type u_1} {M : Type u_2} {N : Type u_4} {P : Type u_6} [inst : Semiring R] [inst_1 : AddCommMonoid M]
  [inst_2 : AddCommMonoid N] [inst_3 : AddCommMonoid P] [inst_4 : Module R M] [inst_5 : Module R N]
  [inst_6 : Module R P] {f : M →ₗ[R] N} {g : N →ₗ[R] P}, Function.Exact ⇑f ⇑g → g ∘ₗ f = 0

Defined in

Mathlib.Algebra.Exact.Basic

Cited by

9 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Quot.sound

Assumes

SemiringAddCommMonoidAddCommMonoidAddCommMonoidModuleModuleModule