Theorems · Theorem · commutative algebra

LinearEquiv.right_inv

∀ {R : Type u_14} {S : Type u_15} [inst : Semiring R] [inst_1 : Semiring S] {σ : R →+* S} {σ' : S →+* R}
  [inst_2 : RingHomInvPair σ σ'] [inst_3 : RingHomInvPair σ' σ] {M : Type u_16} {M₂ : Type u_17}
  [inst_4 : AddCommMonoid M] [inst_5 : AddCommMonoid M₂] [inst_6 : Module R M] [inst_7 : Module S M₂]
  (self : M ≃ₛₗ[σ] M₂), Function.RightInverse self.invFun (↑self).toFun

Defined in

Mathlib.Algebra.Module.Equiv.Defs

Cited by

23 results in Mathlib

Foundations

Depth 14 from the axioms · uses no axioms

Assumes

SemiringSemiringRingHomInvPairRingHomInvPairAddCommMonoidAddCommMonoidModuleModule