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Theorems · Theorem · complex analysis

Complex.isOpen_slitPlane

IsOpen Complex.slitPlane
Defined in
Mathlib.Analysis.Complex.Basic
Cited by
3 results in Mathlib
Foundations
Depth 170 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.

analyticAt_clog · cited by 6analyticAt_clogComplex.expOpenPartialHomeomorph · cited by 2Complex.expOpenPartialHom…iteratedDeriv_succ_log · cited by 1iteratedDeriv_succ_logComplex.derivWithin_sqrt · cited by 0Complex.derivWithin_sqrtComplex · cited by 5565ComplexIsOpen · cited by 2400IsOpencontinuous_const · cited by 278continuous_constComplex.slitPlane · cited by 113Complex.slitPlaneComplex.continuous_re · cited by 60Complex.continuous_reComplex.continuous_im · cited by 32Complex.continuous_imisOpen_lt · cited by 23isOpen_ltIsOpen.union · cited by 19IsOpen.unionisOpen_ne_fun · cited by 1isOpen_ne_funComplex.isOpen_slitPlaneCITED BYCITES

Cites9

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

Cited by4

Results whose statement or proof uses this declaration.