Theorems · Theorem · commutative algebra
MvPolynomial.funext_iff
∀ {R : Type u_1} [inst : CommRing R] [IsDomain R] [Infinite R] {σ : Type u_2} {p q : MvPolynomial σ R},
p = q ↔ ∀ (x : σ → R), (MvPolynomial.eval x) p = (MvPolynomial.eval x) q- Defined in
- Mathlib.Algebra.MvPolynomial.Funext
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 139 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Finsuppstatement · cited by 5,255
- IsDomainstatement and proof · cited by 2,196
- MvPolynomialstatement and proof · cited by 2,140
- Infinitestatement and proof · cited by 352
- MvPolynomial.evalstatement and proof · cited by 157
- MvPolynomial.funextproof · cited by 5
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