Theorems · Theorem · field theory
Polynomial.support_C_mul_X
∀ {R : Type u} [inst : Semiring R] {c : R}, c ≠ 0 → (Polynomial.C c * Polynomial.X).support = {1}- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Finsetstatement and proof · cited by 13,712
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Polynomial.Xstatement · cited by 1,639
- Polynomial.Cstatement · cited by 1,598
- Polynomial.supportstatement and proof · cited by 237
- Polynomial.support_monomialproof · cited by 11
- Polynomial.C_mul_X_eq_monomialproof · cited by 4
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