Theorems · Definition · commutative algebra
WittVector.teichmuller
(p : ℕ) → {R : Type u_1} → [hp : Fact (Nat.Prime p)] → [inst : CommRing R] → R →* WittVector p RThe Teichmüller lift of an element of R to 𝕎 R.
The 0-th coefficient of teichmuller p r is r, and all others are 0.
This is a monoid homomorphism.
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- MonoidHomstatement · cited by 3,629
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- WittVectorstatement · cited by 227
- WittVector.teichmullerFunproof · cited by 0
Cited by14
Results whose statement or proof uses this declaration.
- WittVector.map_teichmullerstatement · cited by 3
- WittVector.ghostComponentModPPow_teichmuller_coeffstatement and proof · cited by 2
- WittVector.factorPowSucc_comp_fontaineThetaModPPowproof · cited by 2
- WittVector.fontaineThetaModPPow_teichmullerstatement and proof · cited by 1
- WittVector.ghostComponent_teichmullerstatement · cited by 1
- WittVector.dvd_sub_sum_teichmuller_iterateFrobeniusEquiv_coeffstatement and proof · cited by 1
- WittVector.eq_of_apply_teichmuller_eqstatement and proof · cited by 1
- WittVector.teichmuller_coeff_posstatement and proof · cited by 1
- WittVector.teichmuller_mul_pow_coeffstatement and proof · cited by 1
- WittVector.teichmuller_mul_pow_coeff_of_nestatement and proof · cited by 1
- WittVector.fontaineTheta_teichmullerstatement and proof · cited by 0
- WittVector.constantCoeff_surjectiveproof · cited by 0