Theorems · Theorem · field theory
FixedPoints.smul_polynomial
∀ (M : Type u) [inst : Monoid M] (F : Type v) [inst_1 : Field F] [inst_2 : MulSemiringAction M F] (m : M) (p : Polynomial ↥(FixedPoints.subfield M F)), m • p = p
- Defined in
- Mathlib.FieldTheory.Fixed
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MonoidFieldMulSemiringAction
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Monoidstatement and proof · cited by 3,887
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- MulSemiringActionstatement and proof · cited by 423
- Subfieldstatement · cited by 303
- smul_addproof · cited by 263
- Polynomial.induction_onproof · cited by 23
- FixedPoints.subfieldstatement and proof · cited by 20
- Polynomial.smul_Cproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- FixedPoints.minpoly.of_eval₂proof · cited by 1