Theorems · Theorem · number theory
ModularGroup.isCompact_truncatedFundamentalDomain
∀ (y : ℝ), IsCompact (ModularGroup.truncatedFundamentalDomain y)
For any y : ℝ, the standard fundamental domain truncated at height y is compact.
- Defined in
- Mathlib.NumberTheory.Modular
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites43
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.ofPredproof · cited by 6,101
- Complexproof · cited by 5,565
- Norm.normproof · cited by 5,413
- LE.le.transproof · cited by 3,151
- Nat.cast_oneproof · cited by 2,501
- absproof · cited by 1,814
- IsCompactstatement and proof · cited by 1,282
- le_of_ltproof · cited by 1,175
- Complex.reproof · cited by 882
- add_le_addproof · cited by 666
Cited by1
Results whose statement or proof uses this declaration.
- ModularGroup.exists_bound_fundamental_domain_of_isBigOproof · cited by 1