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Theorems · Theorem · number theory

EisensteinSeries.r_pos

∀ (z : UpperHalfPlane), 0 < EisensteinSeries.r z
Defined in
Mathlib.NumberTheory.ModularForms.EisensteinSeries.Summable
Cited by
2 results in Mathlib
Foundations
Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

EisensteinSeries.summand_bound · cited by 2EisensteinSeries.summand_…EisensteinSeries.summand_bound_of_mem_verticalStrip · cited by 2EisensteinSeries.summand_…Real · cited by 25697RealUpperHalfPlane · cited by 626UpperHalfPlaneEisensteinSeries.r · cited by 10EisensteinSeries.rEisensteinSeries.r_posCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.