Theorems · Theorem · commutative algebra
WittVector.mul_coeff_zero
∀ {p : ℕ} {R : Type u_1} [hp : Fact (Nat.Prime p)] [inst : CommRing R] (x y : WittVector p R),
(x * y).coeff 0 = x.coeff 0 * y.coeff 0- Defined in
- Mathlib.RingTheory.WittVector.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- map_mulproof · cited by 1,137
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- MvPolynomial.Xproof · cited by 552
- MvPolynomial.aevalproof · cited by 298
- WittVectorstatement and proof · cited by 227
- Matrix.cons_val_fin_oneproof · cited by 225
- WittVector.coeffstatement and proof · cited by 138
Cited by3
Results whose statement or proof uses this declaration.
- WittVector.constantCoeffproof · cited by 5
- WittVector.frobenius_frobeniusRotationproof · cited by 1
- WittVector.iterate_verschiebung_mul_coeffproof · cited by 0