Theorems · Theorem · field theory
Polynomial.leadingCoeff_X_add_C
∀ {S : Type v} [inst : Semiring S] (r : S), (Polynomial.X + Polynomial.C r).leadingCoeff = 1- Cited by
- 5 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Polynomial.Xstatement and proof · cited by 1,639
- Polynomial.Cstatement and proof · cited by 1,598
- pow_oneproof · cited by 894
- zero_lt_oneproof · cited by 598
- Polynomial.leadingCoeffstatement and proof · cited by 498
- Polynomial.leadingCoeff_X_pow_add_Cproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- Polynomial.leadingCoeff_X_sub_Cproof · cited by 11
- monic_ascPochhammerproof · cited by 2
- Polynomial.Splits.scaleRootsproof · cited by 1
- Polynomial.leadingCoeff_pow_X_add_Cproof · cited by 1
- Polynomial.cauchyBound_X_add_Cproof · cited by 0