Theorems · Theorem · commutative algebra
PolynomialModule.comp_smul
∀ {R : Type u_2} {M : Type u_3} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M]
(p p' : Polynomial R) (q : PolynomialModule R M),
(PolynomialModule.comp p) (p' • q) = p'.comp p • (PolynomialModule.comp p) q- Defined in
- Mathlib.Algebra.Polynomial.Module.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingAddCommGroupModule
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- CommRingstatement and proof · cited by 17,173
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- LinearMapstatement · cited by 10,215
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- Polynomial.Cproof · cited by 1,598
- Polynomial.mapproof · cited by 806
- Polynomial.evalproof · cited by 796
- Polynomial.eval₂proof · cited by 267
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