Theorems · Theorem · general topology
Complex.closure_setOfPred_lt_re
∀ (a : ℝ), closure {z | a < z.re} = {z | a ≤ z.re}- Defined in
- Mathlib.Analysis.Complex.ReImTopology
- Cited by
- 3 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.Ioiproof · cited by 1,463
- closurestatement and proof · cited by 1,254
- Complex.restatement and proof · cited by 882
- closure_Ioiproof · cited by 11
- Complex.closure_preimage_reproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- PhragmenLindelof.right_half_plane_of_tendsto_zero_on_realproof · cited by 2
- PhragmenLindelof.eq_zero_on_right_half_plane_of_superexponential_decayproof · cited by 1
- Complex.closure_setOf_lt_reproof · cited by 0