Theorems · Theorem · commutative algebra
PreTilt.coeff_iterate_frobeniusEquiv_symm
∀ {O : Type u₂} [inst : CommRing O] {p : ℕ} [inst_1 : Fact (Nat.Prime p)] [inst_2 : Fact ¬IsUnit ↑p] (m n : ℕ)
(x : PreTilt O p), (PreTilt.coeff m) ((⇑(frobeniusEquiv (PreTilt O p) p).symm)^[n] x) = (PreTilt.coeff (m + n)) x- Defined in
- Mathlib.RingTheory.Perfection
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- 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
- RingEquivstatement · cited by 1,147
- Ideal.spanstatement · cited by 948
- Nat.iteratestatement · cited by 740
- RingEquiv.symmstatement · cited by 567
- Perfection.coeffproof · cited by 51
Cited by3
Results whose statement or proof uses this declaration.
- WittVector.factorPowSucc_comp_fontaineThetaModPPowproof · cited by 2
- WittVector.ghostComponentModPPow_teichmuller_coeffproof · cited by 2
- WittVector.fontaineThetaModPPow_teichmullerproof · cited by 1