theorem extracted_formal_statement_22.{u_2, u_1} {Ω : Type u_1} [inst : MeasurableSpace Ω] {μ : Measure Ω}
  [inst_1 : IsProbabilityMeasure μ] {E : Type u_2} [inst_2 : NormedAddCommGroup E] [inst_3 : CompleteSpace E]
  [inst_4 : NormedSpace ℝ E] (c : E) (this : μ Set.univ = 1) (h_original_goal : (μ Set.univ).toReal • c = c) :
  ENNReal.toReal 1 • c = c := sorry

State before:
Ω : Type u_1
inst✝⁴ : MeasurableSpace Ω
μ : Measure Ω
inst✝³ : IsProbabilityMeasure μ
E : Type u_2
inst✝² : NormedAddCommGroup E
inst✝¹ : CompleteSpace E
inst✝ : NormedSpace ℝ E
c : E
this : μ Set.univ = 1
⊢ (μ Set.univ).toReal • c = c

Tactic: rw [this]

State after:
[Ω : Type u_1
 inst✝⁴ : MeasurableSpace Ω
 μ : Measure Ω
 inst✝³ : IsProbabilityMeasure μ
 E : Type u_2
 inst✝² : NormedAddCommGroup E
 inst✝¹ : CompleteSpace E
 inst✝ : NormedSpace ℝ E
 c : E
 this : μ Set.univ = 1
 ⊢ ENNReal.toReal 1 • c = c]

Relevant lemmas: