Theorems · Theorem · ring theory
SkewMonoidAlgebra.liftNC_single
∀ {k : Type u_1} {G : Type u_2} [inst : AddCommMonoid k] {R : Type u_5} [inst_1 : NonUnitalNonAssocSemiring R]
(f : k →+ R) (g : G → R) (a : G) (b : k), (SkewMonoidAlgebra.liftNC f g) (SkewMonoidAlgebra.single a b) = f b * g a- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- AddMonoidHomstatement and proof · cited by 3,230
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- AddMonoidHom.compproof · cited by 339
- SkewMonoidAlgebrastatement · cited by 216
- SkewMonoidAlgebra.singlestatement · cited by 83
- AddMonoidHom.mulRightproof · cited by 20
- SkewMonoidAlgebra.liftNCstatement · cited by 6
- Finsupp.liftAddHom_apply_singleproof · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- SkewMonoidAlgebra.liftNC_smulproof · cited by 0
- SkewMonoidAlgebra.eq_liftNCproof · cited by 0
- SkewMonoidAlgebra.lift_singleproof · cited by 0
- SkewMonoidAlgebra.liftNC_mulproof · cited by 0
- SkewMonoidAlgebra.liftNC_oneproof · cited by 0