Theorems · Definition · commutative algebra
PolynomialLaw.comp
{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] →
{P : Type u_3} →
[inst_5 : AddCommMonoid P] → [inst_6 : Module R P] → (N →ₚₗ[R] P) → (M →ₚₗ[R] N) → M →ₚₗ[R] PComposition of polynomial maps.
- Defined in
- Mathlib.RingTheory.PolynomialLaw.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- AlgHomproof · cited by 3,236
- PolynomialLawstatement and proof · cited by 37
- PolynomialLaw.toFun'proof · cited by 29
Cited by6
Results whose statement or proof uses this declaration.
- PolynomialLaw.toFun_compstatement and proof · cited by 1
- PolynomialLaw.comp_toFun'statement · cited by 1
- PolynomialLaw.toFun_comp_applystatement · cited by 0
- PolynomialLaw.comp_assocstatement · cited by 0
- PolynomialLaw.comp_idstatement and proof · cited by 0
- PolynomialLaw.id_compstatement and proof · cited by 0