Theorems · Theorem · general topology
Complex.closure_setOfPred_im_lt
∀ (a : ℝ), closure {z | z.im < a} = {z | z.im ≤ a}- Defined in
- Mathlib.Analysis.Complex.ReImTopology
- Cited by
- 2 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
- closurestatement and proof · cited by 1,254
- Set.Iioproof · cited by 1,166
- Complex.imstatement and proof · cited by 591
- closure_Iioproof · cited by 5
- Complex.closure_preimage_improof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Complex.isConnected_of_lowerHalfPlaneproof · cited by 1
- Complex.closure_setOf_im_ltproof · cited by 0