Theorems · Theorem · Lie groups
Circle.smul_def
∀ {α : Type u_1} [inst : SMul ℂ α] (z : Circle) (a : α), z • a = ↑z • a- Defined in
- Mathlib.Analysis.Complex.Circle
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 141 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement and proof · cited by 5,565
- Submonoidstatement · cited by 3,086
- Circlestatement and proof · cited by 227
- Submonoid.unitSpherestatement · cited by 85
Cited by1
Results whose statement or proof uses this declaration.
- Circle.norm_smulproof · cited by 8