Theorems · Definition · commutative algebra
PolynomialLaw.toFunLifted
{R : Type u} →
[inst : CommSemiring R] →
{M : Type u_1} →
[inst_1 : AddCommMonoid M] →
[inst_2 : Module R M] →
{N : Type u_2} →
[inst_3 : AddCommMonoid N] →
[inst_4 : Module R N] →
(S : Type v) →
[inst_5 : CommSemiring S] →
[inst_6 : Algebra R S] → (M →ₚₗ[R] N) → PolynomialLaw.lifts R M S → TensorProduct R S NThe auxiliary lift of PolynomialLaw.toFun' on PolynomialLaw.lifts
- Defined in
- Mathlib.RingTheory.PolynomialLaw.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- Finsetproof · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- TensorProductstatement and proof · cited by 2,545
- Finset.cardproof · cited by 2,327
- MvPolynomialproof · cited by 2,140
- LinearMap.rTensorproof · cited by 266
- AlgHom.toLinearMapproof · cited by 254
- PolynomialLawstatement and proof · cited by 37
Cited by3
Results whose statement or proof uses this declaration.
- PolynomialLaw.toFunproof · cited by 12
- PolynomialLaw.toFun_eq_rTensor_φ_toFun'proof · cited by 7
- PolynomialLaw.factorsThrough_toFunLifted_πstatement · cited by 1