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Theorems · Theorem · number theory

ModularGroup.isOpen_fdo

IsOpen ModularGroup.fdo
Defined in
Mathlib.NumberTheory.Modular
Cited by
1 results in Mathlib
Foundations
Depth 166 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.

ModularGroup.fdo_eq_interior_fd · cited by 0ModularGroup.fdo_eq_inter…IsOpen · cited by 2400IsOpenUpperHalfPlane · cited by 626UpperHalfPlanecontinuous_const · cited by 278continuous_constContinuous.comp' · cited by 184Continuous.comp'IsOpen.preimage · cited by 147IsOpen.preimageIsOpen.inter · cited by 98IsOpen.interisOpen_Ioi · cited by 43isOpen_IoiisOpen_lt · cited by 23isOpen_ltModularGroup.fdo · cited by 13ModularGroup.fdoContinuous.abs · cited by 12Continuous.absUpperHalfPlane.continuous_coe · cited by 4UpperHalfPlane.continuous…UpperHalfPlane.continuous_re · cited by 4UpperHalfPlane.continuous…Complex.continuous_normSq · cited by 2Complex.continuous_normSqModularGroup.isOpen_fdoCITED BYCITES

Cites13

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

Cited by1

Results whose statement or proof uses this declaration.