Theorems · Definition · commutative algebra
PolynomialLaw.ground
{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] → (M →ₚₗ[R] N) → M → NThe map M → N associated with a f : M →ₚₗ[R] N (essentially, f.toFun' R)
- Defined in
- Mathlib.RingTheory.PolynomialLaw.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, 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.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearEquiv.symmproof · cited by 1,461
- TensorProduct.lidproof · cited by 96
- PolynomialLawstatement and proof · cited by 37
- PolynomialLaw.toFun'proof · cited by 29
Cited by6
Results whose statement or proof uses this declaration.
- PolynomialLaw.ground_applystatement · cited by 1
- PolynomialLaw.ground_idstatement · cited by 1
- PolynomialLaw.one_tmul_groundstatement · cited by 0
- PolynomialLaw.one_tmul_ground_apply'statement · cited by 0
- PolynomialLaw.ground_id_applystatement · cited by 0
- PolynomialLaw.lgroundproof · cited by 0