Theorems · Theorem · general topology
EReal.continuousAt_add_bot_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.
Cites16
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
- nhdsproof · cited by 5,554
- Bot.botstatement and proof · cited by 4,720
- Filter.Tendstoproof · cited by 3,814
- 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_add_oneproof · cited by 105
- gt_mem_nhdsproof · cited by 37
- EReal.coe_lt_coe_iffproof · cited by 15
Cited by2
Results whose statement or proof uses this declaration.
- EReal.continuousAt_addproof · cited by 2
- EReal.continuousAt_add_coe_botproof · cited by 1