Theorems · Theorem · commutative algebra

Module.Relations.Solution.IsPresentation.exact

∀ {A : Type u} [inst : Ring A] {relations : Module.Relations A} {M : Type v} [inst_1 : AddCommGroup M]
  [inst_2 : Module A M] {solution : relations.Solution M},
  solution.IsPresentation → Function.Exact ⇑relations.map ⇑solution.π

The sequence (relations.R →₀ A) → (relations.G →₀ A) → M → 0 is exact.

Defined in

Mathlib.Algebra.Module.Presentation.Basic

Cited by

0 results in Mathlib

Foundations

Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModule