Theorems · Theorem · commutative algebra
Perfection.coeff_ne_zero_of_le
∀ {R : Type u_1} [inst : CommSemiring R] {p : ℕ} [hp : Fact (Nat.Prime p)] [inst_1 : CharP R p] {f : Perfection R p}
{m n : ℕ}, (Perfection.coeff R p m) f ≠ 0 → m ≤ n → (Perfection.coeff R p n) f ≠ 0- Defined in
- Mathlib.RingTheory.Perfection
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringFactCharP
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- CharPstatement and proof · cited by 478
- Perfectionstatement and proof · cited by 84
- Perfection.coeffstatement and proof · cited by 51
- Perfection.coeff_add_ne_zeroproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- PreTilt.valAux_addproof · cited by 0
- PreTilt.valAux_mulproof · cited by 0