Theorems · Theorem · ring theory
AddMonoidAlgebra.mapDomainAddEquiv_single
∀ {R : Type u_3} {M : Type u_6} {N : Type u_7} [inst : Semiring R] [inst_1 : Add M] [inst_2 : Add N] (e : M ≃ N) (r : R)
(m : M), (AddMonoidAlgebra.mapDomainAddEquiv R e) (AddMonoidAlgebra.single m r) = AddMonoidAlgebra.single (e m) r- Defined in
- Mathlib.Algebra.MonoidAlgebra.MapDomain
- Cited by
- 3 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
- AddMonoidAlgebrastatement · cited by 649
- AddMonoidAlgebra.singlestatement and proof · cited by 250
- AddMonoidAlgebra.mapDomain_singleproof · cited by 23
- AddMonoidAlgebra.mapDomainAddEquivstatement · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.opRingEquiv_op_monomialproof · cited by 3
- AddMonoidAlgebra.opRingEquiv_singleproof · cited by 0
- AddMonoidAlgebra.opRingEquiv_symm_singleproof · cited by 0