Theorems · Theorem · Lie groups
Circle.ext
∀ {x y : Circle}, ↑x = ↑y → x = y- Defined in
- Mathlib.Analysis.Complex.Circle
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 139 from the axioms · uses propext, Classical.choice, Quot.sound
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 · cited by 5,565
- Submonoidstatement · cited by 3,086
- Circlestatement and proof · cited by 227
- Submonoid.unitSpherestatement · cited by 85
Cited by8
Results whose statement or proof uses this declaration.
- Circle.coe_pathproof · cited by 4
- Circle.path_selfproof · cited by 2
- Circle.exp_int_mul_two_piproof · cited by 1
- Circle.isAddQuotientCoveringMap_expproof · cited by 1
- Circle.coe_injectiveproof · cited by 1
- Circle.isQuotientCoveringMap_zpowproof · cited by 1
- ZMod.toCircle_eq_circleExpproof · cited by 0
- Circle.ext_iffproof · cited by 0