Theorems · Theorem · global analysis
contMDiff_circleExp
∀ {m : WithTop ℕ∞},
ContMDiff (modelWithCornersSelf ℝ ℝ) (modelWithCornersSelf ℝ (EuclideanSpace ℝ (Fin 1))) m ⇑Circle.expThe map fun t ↦ exp (t * I) from ℝ to the unit circle in ℂ is analytic.
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- Foundations
- Depth 248 from the axioms · uses propext, Classical.choice, Quot.sound
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- DFunLike.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- ENNRealstatement · cited by 9,879
- ENatstatement and proof · cited by 4,985
- WithTopstatement and proof · cited by 3,754
- ContinuousMapstatement · cited by 2,491
- modelWithCornersSelfstatement · cited by 920
- EuclideanSpacestatement · cited by 307
- ContMDiffstatement · cited by 278
- Circlestatement · cited by 227
- Circle.expstatement · cited by 73
- ContDiff.compproof · cited by 48
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