Theorems · Theorem · Lie groups
Circle.coe_inv_eq_conj
∀ (z : Circle), ↑z⁻¹ = (starRingEnd ℂ) ↑z
- Defined in
- Mathlib.Analysis.Complex.Circle
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 147 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realproof · cited by 25,697
- RingHomstatement · cited by 10,189
- Complexstatement and proof · cited by 5,565
- mul_oneproof · cited by 3,885
- Submonoidstatement · cited by 3,086
- Complex.ofRealproof · cited by 1,654
- starRingEndstatement and proof · cited by 671
- inv_oneproof · cited by 301
- Circlestatement and proof · cited by 227
- Submonoid.unitSpherestatement · cited by 85
- Complex.ofReal_oneproof · cited by 43
Cited by2
Results whose statement or proof uses this declaration.
- Circle.star_addCharproof · cited by 3
- Orientation.kahler_rotation_left'proof · cited by 1