Theorems · Theorem · general topology
Complex.frontier_setOfPred_le_re_and_le_im
∀ (a b : ℝ), frontier {z | a ≤ z.re ∧ b ≤ z.im} = {z | a ≤ z.re ∧ z.im = b ∨ z.re = a ∧ b ≤ z.im}- Defined in
- Mathlib.Analysis.Complex.ReImTopology
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.ofPredstatement · cited by 6,101
- Complexstatement · cited by 5,565
- Set.Iciproof · cited by 1,070
- Complex.restatement · cited by 882
- Complex.imstatement · cited by 591
- frontierstatement and proof · cited by 214
- Complex.reProdImproof · cited by 39
- closure_Iciproof · cited by 4
- frontier_Iciproof · cited by 4
- Complex.frontier_reProdImproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Complex.frontier_setOf_le_re_and_le_improof · cited by 0