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Theorems · Theorem · general topology

ENNReal.continuousAt_mul_const

∀ {a b : ENNReal}, a ≠ ⊤ ∨ b ≠ 0 → ContinuousAt (fun x => x * a) b
Defined in
Mathlib.Topology.Instances.ENNReal.Lemmas
Cited by
2 results in Mathlib
Foundations
Depth 139 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ENNReal.continuous_mul_const · cited by 3ENNReal.continuous_mul_co…ENNReal.le_of_forall_lt_one_mul_le · cited by 2ENNReal.le_of_forall_lt_o…ENNReal · cited by 9879ENNRealTop.top · cited by 9680Top.topContinuousAt · cited by 697ContinuousAtFilter.tendsto_id · cited by 180Filter.tendsto_idENNReal.Tendsto.mul_const · cited by 14Tendsto.mul_constENNReal.continuousAt_mul_constCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.