Theorems · Theorem · category theory

LinearEquiv.conj_exact_iff_exact

∀ {R : Type u_1} {M : Type u_2} {N : Type u_4} {N' : Type u_5} {P : Type u_6} [inst : Semiring R]
  [inst_1 : AddCommMonoid M] [inst_2 : AddCommMonoid N] [inst_3 : AddCommMonoid N'] [inst_4 : AddCommMonoid P]
  [inst_5 : Module R M] [inst_6 : Module R N] [inst_7 : Module R N'] [inst_8 : Module R P] (f : M →ₗ[R] N)
  (g : N →ₗ[R] P) (e : N ≃ₗ[R] N'), Function.Exact ⇑(↑e ∘ₗ f) ⇑(g ∘ₗ ↑e.symm) ↔ Function.Exact ⇑f ⇑g

Defined in

Mathlib.Algebra.Exact.Basic

Cited by

4 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidAddCommMonoidAddCommMonoidAddCommMonoidModuleModuleModuleModule