Theorems · Theorem · ring theory
MonoidAlgebra.mapRingEquiv_single
∀ {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)- Defined in
- Mathlib.Algebra.MonoidAlgebra.MapDomain
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Monoidstatement and proof · cited by 3,887
- RingEquivstatement and proof · cited by 1,147
- RingHomClass.toRingHomproof · cited by 746
- MonoidAlgebrastatement · cited by 590
- RingEquiv.symmproof · cited by 567
- MonoidAlgebra.singlestatement and proof · cited by 253
- MonoidAlgebra.mapRingHomproof · cited by 27
- MonoidAlgebra.mapRingEquivstatement · cited by 11
- MonoidAlgebra.mapRingHom_singleproof · cited by 11
- RingEquiv.ofRingHom_applyproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- MonoidAlgebra.mapRangeRingEquiv_singleproof · cited by 0