Theorems · Theorem · ring theory
AddMonoidAlgebra.mapRingEquiv_single
∀ {R : Type u_3} {S : Type u_4} {M : Type u_6} [inst : Semiring R] [inst_1 : Semiring S] [inst_2 : AddMonoid M]
(e : R ≃+* S) (r : R) (m : M),
(AddMonoidAlgebra.mapRingEquiv M e) (AddMonoidAlgebra.single m r) = AddMonoidAlgebra.single m (e r)- Defined in
- Mathlib.Algebra.MonoidAlgebra.MapDomain
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- AddMonoidstatement and proof · cited by 2,864
- RingEquivstatement and proof · cited by 1,147
- RingHomClass.toRingHomproof · cited by 746
- AddMonoidAlgebrastatement · cited by 649
- RingEquiv.symmproof · cited by 567
- AddMonoidAlgebra.singlestatement and proof · cited by 250
- AddMonoidAlgebra.mapRingHomproof · cited by 17
- AddMonoidAlgebra.mapRingHom_singleproof · cited by 13
- RingEquiv.ofRingHom_applyproof · cited by 8
- AddMonoidAlgebra.mapRingEquivstatement · cited by 5
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