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Expand file tree Collapse file tree Original file line number Diff line number Diff line change @@ -112,12 +112,12 @@ alias continuous_mul_right := continuous_mul_const
112112@[to_additive]
113113theorem ContinuousOn.comp_mul_left {f : M → X} {s t : Set M} {c : M} (hf : ContinuousOn f t)
114114 (hct : Set.MapsTo (fun x : M => c * x) s t) : ContinuousOn (fun x => f (c * x)) s :=
115- hf.comp (continuous_mul_left c).continuousOn hct
115+ hf.comp (continuous_const_mul c).continuousOn hct
116116
117117@[to_additive]
118118theorem ContinuousOn.comp_mul_right {f : M → X} {s t : Set M} {c : M} (hf : ContinuousOn f t)
119119 (hct : Set.MapsTo (fun x : M => x * c) s t) : ContinuousOn (fun x => f (x * c)) s :=
120- hf.comp (continuous_mul_right c).continuousOn hct
120+ hf.comp (continuous_mul_const c).continuousOn hct
121121
122122@[to_additive]
123123theorem tendsto_mul {a b : M} : Tendsto (fun p : M × M => p.fst * p.snd) (𝓝 (a, b)) (𝓝 (a * b)) :=
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