Theorems · Theorem · general topology
EReal.continuousAt_add_top_coe
∀ (a : ℝ), ContinuousAt (fun p => p.1 + p.2) (⊤, ↑a)
- Defined in
- Mathlib.Topology.Instances.EReal.Lemmas
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Top.topstatement · cited by 9,680
- ERealstatement and proof · cited by 793
- ContinuousAtstatement · cited by 697
- Filter.Eventually.monoproof · cited by 646
- sub_add_cancelproof · cited by 344
- Real.toERealstatement and proof · cited by 303
- lt_mem_nhdsproof · cited by 20
- EReal.coe_lt_topproof · cited by 17
- EReal.coe_lt_coe_iffproof · cited by 15
- EReal.add_lt_addproof · cited by 12
- sub_one_ltproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- EReal.continuousAt_addproof · cited by 2
- EReal.continuousAt_add_coe_topproof · cited by 1