Theorems · Theorem · commutative algebra
WittVector.mem_ker_truncate
∀ {p : ℕ} (n : ℕ) {R : Type u_1} [inst : CommRing R] [inst_1 : Fact (Nat.Prime p)] (x : WittVector p R),
x ∈ RingHom.ker (WittVector.truncate n) ↔ ∀ i < n, x.coeff i = 0- Defined in
- Mathlib.RingTheory.WittVector.Truncated
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- RingHomstatement · cited by 10,189
- Idealstatement · cited by 4,748
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- RingHom.kerstatement · cited by 363
- WittVectorstatement and proof · cited by 227
- WittVector.coeffstatement and proof · cited by 138
- TruncatedWittVectorstatement · cited by 56
- WittVector.truncateFunproof · cited by 21
- WittVector.truncatestatement · cited by 21
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