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Theorems · Theorem · commutative algebra

WittVector.one_coeff_zero

∀ (p : ℕ) (R : Type u_1) [hp : Fact (Nat.Prime p)] [inst : CommRing R], WittVector.coeff 1 0 = 1
Defined in
Mathlib.RingTheory.WittVector.Defs
Cited by
2 results in Mathlib
Foundations
Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FactCommRing
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

WittVector.coeff_p_pow · cited by 2WittVector.coeff_p_powWittVector.mapFun.one · cited by 1mapFun.oneDFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingFact · cited by 2726FactNat.Prime · cited by 2059Nat.Primemap_one · cited by 861map_oneMatrix.vecEmpty · cited by 832Matrix.vecEmptyMvPolynomial.aeval · cited by 298MvPolynomial.aevalWittVector · cited by 227WittVectorWittVector.coeff · cited by 138WittVector.coeffWittVector.wittOne · cited by 5WittVector.wittOneWittVector.wittOne_zero_eq_one · cited by 1WittVector.wittOne_zero_e…WittVector.one_coeff_zeroCITED BYCITES

Cites11

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.