Theorems · Theorem · general topology
Complex.frontier_setOfPred_le_im
∀ (a : ℝ), frontier {z | a ≤ z.im} = {z | z.im = a}- Defined in
- Mathlib.Analysis.Complex.ReImTopology
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.preimageproof · cited by 4,946
- Set.Iciproof · cited by 1,070
- Complex.imstatement and proof · cited by 591
- frontierstatement and proof · cited by 214
- Complex.frontier_preimage_improof · cited by 4
- frontier_Iciproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Complex.frontier_setOf_le_improof · cited by 0