Theorems · Theorem · field theory
LaurentPolynomial.smeval_add
∀ {R : Type u_1} {S : Type u_2} [inst : Semiring R] [inst_1 : AddCommMonoid S] [inst_2 : Module R S] [inst_3 : Monoid S]
(f g : LaurentPolynomial R) (x : Sˣ), (f + g).smeval x = f.smeval x + g.smeval x- Defined in
- Mathlib.Algebra.Polynomial.Laurent
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Monoidstatement and proof · cited by 3,887
- Unitsstatement and proof · cited by 2,804
- Units.valproof · cited by 1,966
- zero_smulproof · cited by 716
- Finsupp.sumproof · cited by 481
- AddMonoidAlgebra.coeffproof · cited by 365
- add_smulproof · cited by 204
- LaurentPolynomialstatement and proof · cited by 98
Cited by2
Results whose statement or proof uses this declaration.
- LaurentPolynomial.levalproof · cited by 1
- LaurentPolynomial.smeval_C_mulproof · cited by 0