Theorems · Theorem · ring theory
MonoidAlgebra.of_commute
∀ {R : Type u_1} {M : Type u_4} [inst : Semiring R] {m : M} [inst_1 : MulOneClass M],
(∀ (m' : M), Commute m m') → ∀ (f : MonoidAlgebra R M), Commute ((MonoidAlgebra.of R M) m) f- Defined in
- Mathlib.Algebra.MonoidAlgebra.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringMulOneClass
Around this declaration
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- MonoidHomstatement · cited by 3,629
- MulOneClassstatement and proof · cited by 1,018
- Commutestatement and proof · cited by 639
- MonoidAlgebrastatement and proof · cited by 590
- MonoidAlgebra.ofstatement · cited by 30
- Commute.one_leftproof · cited by 15
- MonoidAlgebra.single_commuteproof · cited by 2
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