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Theorems · Definition · commutative algebra

TruncatedWittVector.truncate

{p n : ℕ} →
  {R : Type u_1} →
    [inst : CommRing R] →
      [inst_1 : Fact (Nat.Prime p)] → {m : ℕ} → n ≤ m → TruncatedWittVector p m R →+* TruncatedWittVector p n R

A ring homomorphism that truncates a truncated Witt vector of length m to a truncated Witt vector of length n, for n ≤ m.

Defined in
Mathlib.RingTheory.WittVector.Truncated
Cited by
20 results in Mathlib
Foundations
Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingFact

Around this declaration

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

WittVector.lift · cited by 7WittVector.liftWittVector.truncate_comp_lift · cited by 3WittVector.truncate_comp_…WittVector.liftEquiv · cited by 3WittVector.liftEquivTruncatedWittVector.truncate_wittVector_truncate · cited by 3TruncatedWittVector.trunc…WittVector.zmodEquivTrunc_compat · cited by 2WittVector.zmodEquivTrunc…TruncatedWittVector.commutes · cited by 2TruncatedWittVector.commu…WittVector.toZModPow_compat · cited by 2WittVector.toZModPow_comp…WittVector.truncate_lift · cited by 1WittVector.truncate_liftWittVector.truncate_liftFun · cited by 1WittVector.truncate_liftF…TruncatedWittVector.coeff_truncate · cited by 1TruncatedWittVector.coeff…TruncatedWittVector.commutes' · cited by 1TruncatedWittVector.commu…TruncatedWittVector.commutes_symm · cited by 1TruncatedWittVector.commu…TruncatedWittVector.commutes_symm' · cited by 1TruncatedWittVector.commu…TruncatedWittVector.truncate_comp_wittVector_truncate · cited by 1TruncatedWittVector.trunc…TruncatedWittVector.truncate_truncate · cited by 1TruncatedWittVector.trunc…DFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingRingHom · cited by 10189RingHomFact · cited by 2726FactNat.Prime · cited by 2059Nat.PrimeTruncatedWittVector · cited by 56TruncatedWittVectorWittVector.truncate · cited by 21WittVector.truncateTruncatedWittVector.out · cited by 13TruncatedWittVector.outRingHom.liftOfRightInverse · cited by 7RingHom.liftOfRightInverseTruncatedWittVector.truncateFun_out · cited by 3TruncatedWittVector.trunc…TruncatedWittVector.truncateCITED BYCITES

Cites10

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Cited by22

Results whose statement or proof uses this declaration.