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Theorems · Theorem · ring theory

MonoidAlgebra.mapRangeRingEquiv_single

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

∀ {R : Type u_3} {S : Type u_4} {M : Type u_6} [inst : Semiring R] [inst_1 : Semiring S] [inst_2 : Monoid M]
  (e : R ≃+* S) (r : R) (m : M),
  (MonoidAlgebra.mapRingEquiv M e) (MonoidAlgebra.single m r) = MonoidAlgebra.single m (e r)

Alias of MonoidAlgebra.mapRingEquiv_single.

Defined in
Mathlib.Algebra.MonoidAlgebra.MapDomain
Cited by
0 results in Mathlib
Foundations
Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringSemiringMonoid
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DFunLike.coe · cited by 62936DFunLike.coeSemiring · cited by 13802SemiringMonoid · cited by 3887MonoidRingEquiv · cited by 1147RingEquivMonoidAlgebra · cited by 590MonoidAlgebraMonoidAlgebra.single · cited by 253MonoidAlgebra.singleMonoidAlgebra.mapRingEquiv · cited by 11MonoidAlgebra.mapRingEquivMonoidAlgebra.mapRingEquiv_single · cited by 1MonoidAlgebra.mapRingEqui…MonoidAlgebra.mapRangeRingEqu…CITED BYCITES

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