Theorems · Theorem · number theory
ZLattice.covolume_pos
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [FiniteDimensional ℝ E]
[inst_3 : MeasurableSpace E] [BorelSpace E] (L : Submodule ℤ E) [inst_5 : DiscreteTopology ↥L] [IsZLattice ℝ L]
(μ : autoParam (MeasureTheory.Measure E) _auto_25✝) [μ.IsAddHaarMeasure], 0 < ZLattice.covolume L μ- Defined in
- Mathlib.Algebra.Module.ZLattice.Covolume
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 216 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Submodulestatement and proof · cited by 7,192
- FiniteDimensionalstatement and proof · cited by 1,854
- BorelSpacestatement and proof · cited by 1,602
- DiscreteTopologystatement and proof · cited by 373
- MeasureTheory.Measure.IsAddHaarMeasurestatement and proof · cited by 255
- lt_of_le_of_neproof · cited by 230
- ENNReal.toReal_nonnegproof · cited by 86
Cited by5
Results whose statement or proof uses this declaration.
- NumberField.Units.regOfFamily_posproof · cited by 2
- ZLattice.covolume.tendsto_card_le_div'proof · cited by 1
- ZLattice.covolume.tendsto_card_div_pow'proof · cited by 0
- ZLattice.covolume.tendsto_card_le_divproof · cited by 0
- ZLattice.covolume.tendsto_card_div_powproof · cited by 0