Theorems · Theorem · commutative algebra
ValuativeRel.uniformizer_pos
∀ {R : Type u_1} [inst : Semiring R] [inst_1 : ValuativeRel R] [inst_2 : ValuativeRel.IsDiscrete R]
[ValuativeRel.IsNontrivial R], 0 < ValuativeRel.uniformizer R- Cited by
- 2 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Semiringstatement and proof · cited by 13,802
- LT.lt.trans_leproof · cited by 678
- ValuativeRelstatement and proof · cited by 241
- ValuativeRel.ValueGroupWithZerostatement and proof · cited by 86
- ValuativeRel.IsNontrivialstatement and proof · cited by 12
- ValuativeRel.IsDiscretestatement and proof · cited by 10
- ValuativeRel.uniformizerstatement · cited by 6
- ValuativeRel.le_uniformizer_iffproof · cited by 2
- ValuativeRel.IsNontrivial.exists_lt_oneproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- ValuativeRel.uniformizer_ne_zeroproof · cited by 0
- ValuativeRel.uniformizer_inv_le_iffproof · cited by 0