Theorems · Theorem · field theory
Polynomial.trailingDegree_monomial
∀ {R : Type u} {a : R} {n : ℕ} [inst : Semiring R], a ≠ 0 → ((Polynomial.monomial n) a).trailingDegree = ↑n- Cited by
- 6 results in Mathlib
- Foundations
- Depth 99 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.
Cites14
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
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- Finsetproof · cited by 13,712
- LinearMapstatement · cited by 10,215
- Polynomialstatement · cited by 5,681
- ENatstatement and proof · cited by 4,985
- WithTopproof · cited by 3,754
- WithTop.someproof · cited by 1,128
- Polynomial.monomialstatement and proof · cited by 256
- Polynomial.trailingDegreestatement · cited by 39
- Finset.minproof · cited by 36
Cited by6
Results whose statement or proof uses this declaration.
- Polynomial.natTrailingDegree_monomialproof · cited by 4
- Polynomial.le_trailingDegree_monomialproof · cited by 3
- Polynomial.trailingDegree_Cproof · cited by 1
- Polynomial.trailingDegree_C_mul_X_powproof · cited by 0
- Polynomial.trailingDegree_Xproof · cited by 0
- Polynomial.trailingDegree_X_powproof · cited by 0