Theorems · Theorem · general topology
Complex.interior_setOfPred_im_le
∀ (a : ℝ), interior {z | z.im ≤ a} = {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.Iicproof · cited by 1,111
- interiorstatement and proof · cited by 714
- Complex.imstatement and proof · cited by 591
- interior_Iicproof · cited by 6
- Complex.interior_preimage_improof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Complex.interior_setOf_im_leproof · cited by 0