Theorems · Theorem · number theory
EisensteinSeries.r_lower_bound_on_verticalStrip
∀ (z : UpperHalfPlane) {A B : ℝ} (h : 0 < B),
z ∈ UpperHalfPlane.verticalStrip A B →
EisensteinSeries.r { coe := { re := A, im := B }, coe_im_pos := h } ≤ EisensteinSeries.r z- Cited by
- 1 results in Mathlib
- Foundations
- Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Nat.cast_oneproof · cited by 2,501
- le_of_ltproof · cited by 1,175
- UpperHalfPlanestatement and proof · cited by 626
- one_divproof · cited by 624
- pow_posproof · cited by 292
- abs_nonnegproof · cited by 168
- Right.add_pos_of_nonneg_of_posproof · cited by 137
- UpperHalfPlane.improof · cited by 128
- even_two_mulproof · cited by 102
- pow_le_pow_left₀proof · cited by 99
Cited by1
Results whose statement or proof uses this declaration.
- EisensteinSeries.summand_bound_of_mem_verticalStripproof · cited by 2