Theorems · Theorem · number theory
Padic.const_equiv
∀ (p : ℕ) [inst : Fact (Nat.Prime p)] {q r : ℚ}, CauSeq.const (padicNorm p) q ≈ CauSeq.const (padicNorm p) r ↔ q = r- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 86 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- CauSeqstatement · cited by 189
- padicNormstatement and proof · cited by 83
- CauSeq.conststatement and proof · cited by 58
- eq_of_sub_eq_zeroproof · cited by 27
- CauSeq.const_limZeroproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- Padic.valuation_zeroproof · cited by 5
- Padic.coe_injproof · cited by 0