Theorems · Theorem · number theory
ModularGroup.isClosed_coe_fd
IsClosed (UpperHalfPlane.coe '' ModularGroup.fd)
The image of the fundamental domain 𝒟 in ℂ is closed.
This is not immediate (unlike the analogous statement for 𝒟ᵒ),
since the inclusion of ℍ in ℂ is an open but not a closed map.
- Defined in
- Mathlib.NumberTheory.Modular
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- 0 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
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- UpperHalfPlanestatement · cited by 626
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