Theorems · Definition · commutative algebra
WittVector.truncateFun
{p : ℕ} → (n : ℕ) → {R : Type u_1} → WittVector p R → TruncatedWittVector p n RtruncateFun n x uses the first n entries of x to construct a TruncatedWittVector,
which has the same base p as x.
This function is bundled into a ring homomorphism in WittVector.truncate
- Defined in
- Mathlib.RingTheory.WittVector.Truncated
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- WittVectorstatement and proof · cited by 227
- WittVector.coeffproof · cited by 138
- TruncatedWittVectorstatement · cited by 56
- TruncatedWittVector.mkproof · cited by 4
Cited by24
Results whose statement or proof uses this declaration.
- WittVector.truncateproof · cited by 21
- WittVector.out_truncateFunstatement · cited by 7
- WittVector.RecursionMain.succNthDefiningPolyproof · cited by 5
- WittVector.coeff_truncateFunstatement · cited by 4
- TruncatedWittVector.truncateFun_outstatement · cited by 3
- WittVector.succNthValUnitsproof · cited by 2
- WittVector.truncateFun_mulstatement and proof · cited by 1
- WittVector.truncateFun_onestatement · cited by 1
- WittVector.truncateFun_surjectivestatement · cited by 1
- WittVector.nthRemainder_specstatement · cited by 1
- WittVector.nth_mul_coeffstatement and proof · cited by 1
- WittVector.nth_mul_coeff'statement and proof · cited by 1