Theorems · Theorem · general topology
ENat.continuousAt_sub
∀ {a b : ℕ∞}, a ≠ ⊤ ∨ b ≠ ⊤ → ContinuousAt (Function.uncurry fun x1 x2 => x1 - x2) (a, b)- Defined in
- Mathlib.Topology.Instances.ENat
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- nhdsproof · cited by 5,554
- ENatstatement and proof · cited by 4,985
- Filter.Tendstoproof · cited by 3,814
- Filter.Eventuallyproof · cited by 3,134
- SProd.sprodproof · cited by 1,750
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- ContinuousAtstatement and proof · cited by 697
- nhds_prod_eqproof · cited by 84
- WithTop.coe_lt_topproof · cited by 44
- Filter.prod_pureproof · cited by 30
Cited by1
Results whose statement or proof uses this declaration.
- Filter.Tendsto.enatSubproof · cited by 2