Theorems · Theorem · number theory
UpperHalfPlane.petersson_continuous
∀ (k : ℤ) {f f' : UpperHalfPlane → ℂ}, Continuous f → Continuous f' → Continuous (UpperHalfPlane.petersson k f f')- Cited by
- 2 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement and proof · cited by 5,565
- Continuousstatement and proof · cited by 2,592
- UpperHalfPlanestatement and proof · cited by 626
- Continuous.comp'proof · cited by 184
- Continuous.prodMkproof · cited by 127
- Complex.continuous_ofRealproof · cited by 107
- continuous_mulproof · cited by 41
- UpperHalfPlane.im_ne_zeroproof · cited by 18
- UpperHalfPlane.peterssonstatement · cited by 16
- UpperHalfPlane.continuous_improof · cited by 4
- Complex.continuous_conjproof · cited by 2
- Continuous.zpow₀proof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- CuspFormClass.petersson_bounded_leftproof · cited by 2
- ModularFormClass.exists_petersson_leproof · cited by 1