Theorems · Theorem · ring theory
SkewMonoidAlgebra.liftNC_smul
∀ {k : Type u_1} {G : Type u_2} [inst : Semiring k] [inst_1 : MulOneClass G] {R : Type u_3} [inst_2 : Semiring R]
(f : k →+* R) (g : G →* R) (c : k) (φ : SkewMonoidAlgebra k G),
(SkewMonoidAlgebra.liftNC ↑f ⇑g) (c • φ) = f c * (SkewMonoidAlgebra.liftNC ↑f ⇑g) φ- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringMulOneClassSemiring
Around this declaration
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Cites19
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
- RingHomstatement and proof · cited by 10,189
- MonoidHomstatement and proof · cited by 3,629
- AddMonoidHomstatement and proof · cited by 3,230
- mul_assocproof · cited by 1,667
- map_mulproof · cited by 1,137
- MulOneClassstatement and proof · cited by 1,018
- AddMonoidHom.compproof · cited by 339
- AddMonoidHomClass.toAddMonoidHomstatement and proof · cited by 232
- SkewMonoidAlgebrastatement and proof · cited by 216
- AddMonoidHom.extproof · cited by 149
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