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Theorems · Definition · complex analysis

Complex.UnitClosedDisc.casesOn

{motive : Complex.UnitClosedDisc → Sort u_1} →
  ((z : ℂ) → (hz : ‖z‖ ≤ 1) → motive (Complex.UnitClosedDisc.mk z hz)) → (z : Complex.UnitClosedDisc) → motive z

A cases eliminator that makes cases z use UnitClosedDisc.mk instead of Subtype.mk.

Defined in
Mathlib.Analysis.Complex.UnitDisc.Basic
Cited by
1 results in Mathlib
Foundations
Depth 141 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.

Complex.UnitClosedDisc.casesOn_mk · cited by 0UnitClosedDisc.casesOn_mkReal · cited by 25697RealComplex · cited by 5565ComplexNorm.norm · cited by 5413Norm.normComplex.UnitClosedDisc · cited by 42Complex.UnitClosedDiscComplex.UnitClosedDisc.coe · cited by 26UnitClosedDisc.coeComplex.UnitClosedDisc.mk · cited by 12UnitClosedDisc.mkComplex.UnitClosedDisc.norm_le_one · cited by 4UnitClosedDisc.norm_le_oneUnitClosedDisc.casesOnCITED BYCITES

Cites7

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Cited by1

Results whose statement or proof uses this declaration.