Theorems · Theorem · number theory
EisensteinSeries.norm_eq_max_natAbs
∀ (x : Fin 2 → ℤ), ‖x‖ = ↑(max (x 0).natAbs (x 1).natAbs)
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Norm.normstatement · cited by 5,413
- NNRealproof · cited by 4,310
- NNReal.toRealproof · cited by 1,260
- NNNorm.nnnormproof · cited by 952
- eq_of_forall_ge_iffproof · cited by 96
- NNReal.coe_natCastproof · cited by 34
- coe_nnnormproof · cited by 33
- NNReal.coe_injproof · cited by 30
- Nat.cast_maxproof · cited by 10
- NNReal.natCast_natAbsproof · cited by 3
Cited by8
Results whose statement or proof uses this declaration.
- EisensteinSeries.summable_one_div_norm_rpowproof · cited by 4
- EisensteinSeries.r_mul_max_leproof · cited by 1
- EisensteinSeries.div_max_sq_ge_oneproof · cited by 1
- EisensteinSeries.norm_symmproof · cited by 0
- EisensteinSeries.abs_le_left_of_normproof · cited by 0
- EisensteinSeries.abs_le_right_of_normproof · cited by 0
- EisensteinSeries.abs_norm_eq_max_natAbsproof · cited by 0
- EisensteinSeries.abs_norm_eq_max_natAbs_negproof · cited by 0