Theorems · Theorem · number theory
PadicInt.appr_mono
∀ {p : ℕ} [hp_prime : Fact (Nat.Prime p)] (x : ℤ_[p]), Monotone x.appr- Defined in
- Mathlib.NumberTheory.Padics.RingHoms
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Factstatement and proof · cited by 2,726
- le_reflproof · cited by 2,061
- Nat.Primestatement and proof · cited by 2,059
- Units.valproof · cited by 1,966
- Monotonestatement · cited by 1,397
- PadicIntstatement and proof · cited by 179
- ZMod.valproof · cited by 159
- monotone_nat_of_le_succproof · cited by 45
- PadicInt.valuationproof · cited by 19
- PadicInt.apprstatement and proof · cited by 10
- PadicInt.toZModproof · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- PadicInt.zmod_cast_comp_toZModPowproof · cited by 4
- PadicInt.dvd_appr_sub_apprproof · cited by 1