Theorems · Theorem · commutative algebra

Module.Projective.of_equiv

∀ {R : Type u_8} {S : Type u_9} [inst : Semiring R] [inst_1 : Semiring S] {M : Type u_10} {N : Type u_11}
  [inst_2 : AddCommMonoid M] [inst_3 : AddCommMonoid N] [inst_4 : Module R M] [inst_5 : Module S N] {σ : R →+* S}
  {σ' : S →+* R} [inst_6 : RingHomInvPair σ σ'] [inst_7 : RingHomInvPair σ' σ] (e₂ : M ≃ₛₗ[σ] N)
  [Module.Projective R M], Module.Projective S N

Defined in

Mathlib.Algebra.Module.Projective

Cited by

9 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringSemiringAddCommMonoidAddCommMonoidModuleModuleRingHomInvPairRingHomInvPairModule.Projective