Mathlib Map

Theorems · Theorem · global analysis

contMDiff_circleExp

∀ {m : WithTop ℕ∞},
  ContMDiff (modelWithCornersSelf ℝ ℝ) (modelWithCornersSelf ℝ (EuclideanSpace ℝ (Fin 1))) m ⇑Circle.exp

The map fun t ↦ exp (t * I) from to the unit circle in is analytic.

Defined in
Mathlib.Geometry.Manifold.Instances.Sphere
Cited by
0 results in Mathlib
Foundations
Depth 248 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites18

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

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.