Theorems · Theorem · number theory
PadicInt.denseRange_natCast
∀ {p : ℕ} [hp_prime : Fact (Nat.Prime p)], DenseRange Nat.cast- Defined in
- Mathlib.NumberTheory.Padics.RingHoms
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 202 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.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- lt_of_le_of_ltproof · cited by 432
- dist_eq_normproof · cited by 182
- PadicIntstatement and proof · cited by 179
- DenseRangestatement · cited by 164
- PadicInt.apprproof · cited by 10
- PadicInt.norm_le_pow_iff_mem_span_powproof · cited by 7
- PadicInt.exists_pow_neg_ltproof · cited by 6
- PadicInt.appr_specproof · cited by 4
- Metric.mem_closure_range_iffproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- PadicInt.eq_addChar_of_value_at_oneproof · cited by 0
- PadicInt.denseRange_intCastproof · cited by 0
- PadicInt.norm_ascPochhammer_leproof · cited by 0
- PadicInt.hasSum_mahlerproof · cited by 0