Theorems · Theorem · complex analysis
Set.Countable.preimage_circleMap
∀ {s : Set ℂ}, s.Countable → ∀ (c : ℂ) {R : ℝ}, R ≠ 0 → (circleMap c R ⁻¹' s).Countable- Cited by
- 1 results in Mathlib
- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Set.preimagestatement and proof · cited by 4,946
- Complex.ofRealproof · cited by 1,654
- Complex.Iproof · cited by 866
- Complex.expproof · cited by 612
- Set.Countablestatement and proof · cited by 545
- circleMapstatement · cited by 117
- Complex.ofReal_ne_zeroproof · cited by 46
- add_right_injectiveproof · cited by 36
- Complex.ofReal_injectiveproof · cited by 23
Cited by1
Results whose statement or proof uses this declaration.
- circleIntegral.integral_sub_inv_smul_sub_smulproof · cited by 2