Theorems · Definition · commutative algebra
PreTilt.coeff
{O : Type u₂} →
[inst : CommRing O] →
{p : ℕ} → [inst_1 : Fact (Nat.Prime p)] → [inst_2 : Fact ¬IsUnit ↑p] → ℕ → PreTilt O p →+* ModP O pThe n-th coefficient of an element of the perfection of O/(p).
- Defined in
- Mathlib.RingTheory.Perfection
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- 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
- IsUnitstatement and proof · cited by 1,602
- Ideal.spanstatement · cited by 948
- Perfection.coeffproof · cited by 51
- PreTiltstatement · cited by 30
- ModPstatement and proof · cited by 23
Cited by23
Results whose statement or proof uses this declaration.
- PreTilt.valAuxproof · cited by 7
- WittVector.fontaineThetaModPPowproof · cited by 5
- PreTilt.valAux_eqstatement and proof · cited by 4
- PreTilt.coeff_iterate_frobeniusEquiv_symmstatement · cited by 3
- PreTilt.coeff_pow_pstatement · cited by 2
- PreTilt.valAux_zeroproof · cited by 2
- WittVector.ghostComponentModPPow_teichmuller_coeffstatement and proof · cited by 2
- WittVector.factorPowSucc_comp_fontaineThetaModPPowproof · cited by 2
- PreTilt.coeff_frobeniusEquiv_symmstatement · cited by 1
- PreTilt.coeff_nat_find_add_ne_zerostatement and proof · cited by 1
- WittVector.fontaineThetaModPPow_teichmullerproof · cited by 1
- PreTilt.map_eq_zeroproof · cited by 1