Theorems · Theorem · ring theory
MonoidAlgebra.mapDomainAddEquiv_single
∀ {R : Type u_3} {M : Type u_6} {N : Type u_7} [inst : Semiring R] [inst_1 : Mul M] [inst_2 : Mul N] (e : M ≃ N) (r : R)
(m : M), (MonoidAlgebra.mapDomainAddEquiv R e) (MonoidAlgebra.single m r) = MonoidAlgebra.single (e m) r- Defined in
- Mathlib.Algebra.MonoidAlgebra.MapDomain
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Equivstatement and proof · cited by 8,337
- AddEquivstatement · cited by 1,087
- MonoidAlgebrastatement · cited by 590
- MonoidAlgebra.singlestatement and proof · cited by 253
- MonoidAlgebra.mapDomain_singleproof · cited by 12
- MonoidAlgebra.mapDomainAddEquivstatement · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- MonoidAlgebra.opRingEquiv_singleproof · cited by 0
- MonoidAlgebra.opRingEquiv_symm_singleproof · cited by 0