Theorems · Theorem · complex analysis
Complex.ball_one_subset_slitPlane
Metric.ball 1 1 ⊆ Complex.slitPlane
The slit plane includes the open unit ball of radius 1 around 1.
- Defined in
- Mathlib.Analysis.Complex.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 137 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- Complexstatement and proof · cited by 5,565
- LE.le.trans_ltproof · cited by 795
- Metric.ballstatement and proof · cited by 735
- Complex.slitPlanestatement · cited by 113
- Complex.re_le_normproof · cited by 5
- mem_ball_iff_norm'proof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Complex.mem_slitPlane_of_norm_lt_oneproof · cited by 5