Theorems · Definition · commutative algebra
PolynomialLaw.id
{R : Type u} →
[inst : CommSemiring R] → {M : Type u_1} → [inst_1 : AddCommMonoid M] → [inst_2 : Module R M] → M →ₚₗ[R] MThe identity as a polynomial law
- 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- AddCommMonoidstatement and proof · cited by 12,281
- Algebraproof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- PolynomialLawstatement · cited by 37
Cited by5
Results whose statement or proof uses this declaration.
- PolynomialLaw.ground_idstatement · cited by 1
- PolynomialLaw.ground_id_applystatement · cited by 0
- PolynomialLaw.id_compstatement and proof · cited by 0
- PolynomialLaw.id_apply'statement · cited by 0
- PolynomialLaw.comp_idstatement and proof · cited by 0