Theorems · Theorem · commutative algebra
PreTilt.coeff_pow_p
∀ {O : Type u₂} [inst : CommRing O] {p : ℕ} [inst_1 : Fact (Nat.Prime p)] [inst_2 : Fact ¬IsUnit ↑p] (x : PreTilt O p)
(n : ℕ), (PreTilt.coeff (n + 1)) x ^ p = (PreTilt.coeff n) x- Defined in
- Mathlib.RingTheory.Perfection
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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
- Ideal.spanstatement · cited by 948
- PreTiltstatement and proof · cited by 30
- ModPstatement · cited by 23
- PreTilt.coeffstatement · cited by 21
- Perfection.coeff_pow_pproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- PreTilt.valAux_eqproof · cited by 4
- PreTilt.valAux_mulproof · cited by 0