Theorems · Theorem · number theory
NumberField.abs_discr_ge
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K],
1 < Module.finrank ℚ K → 4 / 9 * (3 * Real.pi / 4) ^ Module.finrank ℚ K ≤ ↑|NumberField.discr K|- Cited by
- 2 results in Mathlib
- Foundations
- Depth 315 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites49
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
- Fieldstatement and proof · cited by 7,404
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- mul_commproof · cited by 2,262
- le_reflproof · cited by 2,061
- Nat.cast_zeroproof · cited by 1,870
- absstatement · cited by 1,814
- Real.pistatement and proof · cited by 1,774
- Module.finrankstatement and proof · cited by 1,770
- le_of_ltproof · cited by 1,175
Cited by2
Results whose statement or proof uses this declaration.
- NumberField.hermiteTheorem.rank_le_rankOfDiscrBddproof · cited by 4
- NumberField.abs_discr_gt_twoproof · cited by 2