Theorems · Theorem · commutative algebra
MvPolynomial.C_0
∀ {R : Type u} {σ : Type u_1} [inst : CommSemiring R], MvPolynomial.C 0 = 0- Defined in
- Mathlib.Algebra.MvPolynomial.Basic
- Cited by
- 13 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement · cited by 2,140
- map_zeroproof · cited by 1,614
- MvPolynomial.Cstatement and proof · cited by 400
Cited by13
Results whose statement or proof uses this declaration.
- MvPolynomial.totalDegree_zeroproof · cited by 7
- Algebra.Generators.Cotangent.exactproof · cited by 6
- MvPolynomial.mem_range_map_iff_coeffs_subsetproof · cited by 5
- MvPolynomial.degrees_zeroproof · cited by 3
- MvPolynomial.coeffs_Cproof · cited by 3
- MvPolynomial.C_eq_coe_natproof · cited by 2
- MvPolynomial.monomial_add_induction_onproof · cited by 2
- MvPolynomial.eval₂_C_mk_eq_zeroproof · cited by 2
- WittVector.frobeniusPoly_zmodproof · cited by 1
- wittPolynomial_zmod_selfproof · cited by 1
- MvPolynomial.eq_zero_of_eval_zero_at_prod_finsetproof · cited by 1
- MvPolynomial.prime_C_iffproof · cited by 1