MonoidAlgebra.mapRangeAddEquiv_trans

Deprecated since 2026-03-20Use MonoidAlgebra.mapAddEquiv_trans instead.

∀ {R : Type u_3} {S : Type u_4} {T : Type u_5} {M : Type u_6} [inst : Semiring R] [inst_1 : Semiring S]
  [inst_2 : Semiring T] [inst_3 : Mul M] (e₁ : R ≃+ S) (e₂ : S ≃+ T),
  MonoidAlgebra.mapAddEquiv M (e₁.trans e₂) = (MonoidAlgebra.mapAddEquiv M e₁).trans (MonoidAlgebra.mapAddEquiv M e₂)

Alias of MonoidAlgebra.mapAddEquiv_trans.

Defined in: Mathlib.Algebra.MonoidAlgebra.MapDomain
Cited by: 0 results in Mathlib
Foundations: Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Semiring Semiring Semiring Mul

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Semiringstatement · cited by 13,802
AddEquivstatement · cited by 1,087
MonoidAlgebrastatement · cited by 590
AddEquiv.transstatement · cited by 53
MonoidAlgebra.mapAddEquivstatement · cited by 12
MonoidAlgebra.mapAddEquiv_transproof · cited by 1

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.