Theorems · Theorem · field theory
Valued.integer.exists_norm_coe_lt_one
∀ (K : Type u_1) [inst : NontriviallyNormedField K] [inst_1 : IsUltrametricDist K], ∃ x, 0 < ‖↑x‖ ∧ ‖↑x‖ < 1
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Norm.normstatement and proof · cited by 5,413
- NNRealstatement · cited by 4,310
- LT.lt.leproof · cited by 2,189
- Subringstatement · cited by 602
- IsUltrametricDiststatement and proof · cited by 177
- Valued.integerstatement · cited by 22
- NormedField.toValuedstatement · cited by 14
- NormedField.exists_norm_lt_oneproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- Valued.integer.exists_norm_lt_oneproof · cited by 0
- Valued.integer.exists_nnnorm_lt_oneproof · cited by 0