Theorems · Theorem · general topology
EReal.continuousAt_add_coe_bot
∀ (a : ℝ), ContinuousAt (fun p => p.1 + p.2) (↑a, ⊥)
- Defined in
- Mathlib.Topology.Instances.EReal.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 125 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- add_commproof · cited by 1,535
- ERealstatement and proof · cited by 793
- ContinuousAtstatement · cited by 697
- Filter.Tendsto.compproof · cited by 560
- Real.toERealstatement and proof · cited by 303
- Continuous.tendstoproof · cited by 206
- continuous_swapproof · cited by 20
- EReal.continuousAt_add_bot_coeproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- EReal.continuousAt_addproof · cited by 2