Theorems · Theorem · commutative algebra
MvPolynomial.monomial_one_mul_cancel_right_iff
∀ {R : Type u} {σ : Type u_1} [inst : CommSemiring R] {p q : MvPolynomial σ R} {m : σ →₀ ℕ},
p * (MvPolynomial.monomial m) 1 = q * (MvPolynomial.monomial m) 1 ↔ p = q- Defined in
- Mathlib.Algebra.MvPolynomial.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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 · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Finsuppstatement and proof · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- MvPolynomial.monomialstatement · cited by 253
- IsRegular.rightproof · cited by 19
- isRegular_oneproof · cited by 8
- IsRegular.monomialproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.X_mul_cancel_right_iffproof · cited by 0