Theorems · Theorem · general topology
Circle.exp_arg
∀ (z : Circle), Circle.exp (↑z).arg = z
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Realstatement · cited by 25,697
- Complexstatement · cited by 5,565
- Submonoidstatement · cited by 3,086
- ContinuousMapstatement · cited by 2,491
- Circlestatement and proof · cited by 227
- Complex.argstatement and proof · cited by 220
- Submonoid.unitSpherestatement · cited by 85
- Circle.expstatement and proof · cited by 73
- Complex.arg_le_piproof · cited by 8
- Complex.neg_pi_lt_argproof · cited by 7
- Circle.arg_expproof · cited by 3
Cited by8
Results whose statement or proof uses this declaration.
- Circle.argPartialEquivproof · cited by 6
- AddCircle.homeomorphCircle'proof · cited by 4
- Circle.exp_surjectiveproof · cited by 2
- Circle.path_selfproof · cited by 2
- Circle.mem_centeredArcproof · cited by 1
- Circle.compl_range_pathproof · cited by 1
- Circle.leftInverse_exp_argproof · cited by 0
- Circle.exp_angleDiff_mulproof · cited by 0