Theorems · Theorem · complex analysis
Complex.UnitClosedDisc.forall
∀ {p : Complex.UnitClosedDisc → Prop},
(∀ (z : Complex.UnitClosedDisc), p z) ↔ ∀ (z : ℂ) (hz : ‖z‖ ≤ 1), p (Complex.UnitClosedDisc.mk z hz)- Defined in
- Mathlib.Analysis.Complex.UnitDisc.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 141 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Norm.normstatement and proof · cited by 5,413
- Complex.UnitClosedDiscstatement and proof · cited by 42
- Complex.UnitClosedDisc.coeproof · cited by 26
- Complex.UnitClosedDisc.mkstatement and proof · cited by 12
- Complex.UnitClosedDisc.norm_le_oneproof · cited by 4
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