Theorems · Theorem · commutative algebra
WittVector.le_coeff_eq_iff_le_sub_coeff_eq_zero
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] {k : Type u_1} [inst : CommRing k] {x y : WittVector p k} {n : ℕ},
(∀ i < n, x.coeff i = y.coeff i) ↔ ∀ i < n, (x - y).coeff i = 0- Defined in
- Mathlib.RingTheory.WittVector.Complete
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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_subproof · cited by 565
- WittVectorstatement and proof · cited by 227
- WittVector.coeffstatement and proof · cited by 138
- TruncatedWittVectorproof · cited by 56
- WittVector.truncateproof · cited by 21
- TruncatedWittVector.coeffproof · cited by 14
- TruncatedWittVector.extproof · cited by 7
- WittVector.coeff_truncateproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- WittVector.dvd_sub_sum_teichmuller_iterateFrobeniusEquiv_coeffproof · cited by 1