Theorems · Theorem · number theory
NumberField.mixedEmbedding.exists_ne_zero_mem_ringOfIntegers_of_norm_le
∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K] {B : ℝ},
NumberField.mixedEmbedding.minkowskiBound K 1 ≤ MeasureTheory.volume (NumberField.mixedEmbedding.convexBodySum K B) →
∃ a, a ≠ 0 ∧ ↑|(Algebra.norm ℚ) ↑a| ≤ (B / ↑(Module.finrank ℚ K)) ^ Module.finrank ℚ K- Cited by
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- Foundations
- Depth 312 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
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