Theorems · Definition · commutative algebra
WittVector.truncate
{p : ℕ} →
(n : ℕ) →
{R : Type u_1} → [inst : CommRing R] → [inst_1 : Fact (Nat.Prime p)] → WittVector p R →+* TruncatedWittVector p n Rtruncate n is a ring homomorphism that truncates x to its first n entries
to obtain a TruncatedWittVector, which has the same base p as x.
- Defined in
- Mathlib.RingTheory.WittVector.Truncated
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 114 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.
- 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 · cited by 227
- TruncatedWittVectorstatement · cited by 56
- WittVector.truncateFunproof · cited by 21
- WittVector.truncateFun_mulproof · cited by 1
- WittVector.truncateFun_oneproof · cited by 1
- WittVector.truncateFun_addproof · cited by 0
- WittVector.truncateFun_zeroproof · cited by 0
Cited by24
Results whose statement or proof uses this declaration.
- TruncatedWittVector.truncateproof · cited by 20
- WittVector.coeff_truncatestatement · cited by 4
- WittVector.truncate_comp_liftstatement and proof · cited by 3
- WittVector.truncate_surjectivestatement · cited by 3
- WittVector.liftEquivproof · cited by 3
- TruncatedWittVector.truncate_wittVector_truncatestatement and proof · cited by 3
- WittVector.toZModPow_compatproof · cited by 2
- WittVector.truncate_liftstatement · cited by 1
- WittVector.truncate_liftFunstatement · cited by 1
- WittVector.truncate_mk'statement · cited by 1
- TruncatedWittVector.coeff_truncateproof · cited by 1
- WittVector.fromPadicInt_comp_toPadicIntproof · cited by 1