Theorems · Theorem · complex analysis
Complex.UnitDisc.coe_circle_smul
∀ (z : Circle) (w : Complex.UnitDisc), ↑(z • w) = ↑z * ↑w
- Defined in
- Mathlib.Analysis.Complex.UnitDisc.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement · cited by 5,565
- Submonoidstatement · cited by 3,086
- Circlestatement and proof · cited by 227
- Submonoid.unitSpherestatement · cited by 85
- Complex.UnitDiscstatement and proof · cited by 52
- Complex.UnitDisc.coestatement · cited by 32
Cited by1
Results whose statement or proof uses this declaration.
- Complex.UnitDisc.coe_smul_circleproof · cited by 0