Theorems · Theorem · commutative algebra
WittVector.coeff_truncate
∀ {p n : ℕ} {R : Type u_1} [inst : CommRing R] [inst_1 : Fact (Nat.Prime p)] (x : WittVector p R) (i : Fin n),
TruncatedWittVector.coeff i ((WittVector.truncate n) x) = x.coeff ↑i- Defined in
- Mathlib.RingTheory.WittVector.Truncated
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- WittVectorstatement and proof · cited by 227
- WittVector.coeffstatement · cited by 138
- TruncatedWittVectorstatement · cited by 56
- WittVector.truncatestatement · cited by 21
- TruncatedWittVector.coeffstatement · cited by 14
- WittVector.coeff_truncateFunproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- TruncatedWittVector.coeff_truncateproof · cited by 1
- WittVector.le_coeff_eq_iff_le_sub_coeff_eq_zeroproof · cited by 1
- WittVector.truncate_mk'proof · cited by 1
- TruncatedWittVector.eq_of_le_of_cast_pow_eq_zeroproof · cited by 1