α : Type u_1
E : Type u_2
F : Type ?u.3174269
G : Type ?u.3174272
m m0 : MeasurableSpace α
p : ℝ≥0∞
q : ℝ
μ ν : Measure α
inst✝² : NormedAddCommGroup E
inst✝¹ : NormedAddCommGroup F
inst✝ : NormedAddCommGroup G
hm : m ≤ m0
f : α → E
hf : AEStronglyMeasurable f (Measure.trim ν hm)
⊢ snorm (AEStronglyMeasurable.mk f hf) p (Measure.trim ν hm) = snorm (AEStronglyMeasurable.mk f hf) p ν
α : Type u_1
E : Type u_2
F : Type ?u.3174269
G : Type ?u.3174272
m m0 : MeasurableSpace α
p : ℝ≥0∞
q : ℝ
μ ν : Measure α
inst✝² : NormedAddCommGroup E
inst✝¹ : NormedAddCommGroup F
inst✝ : NormedAddCommGroup G
hm : m ≤ m0
f : α → E
hf : AEStronglyMeasurable f (Measure.trim ν hm)
⊢ snorm f p (Measure.trim ν hm) = snorm f p ν
rw [snorm_congr_ae hf.ae_eq_mk, snorm_congr_ae (ae_eq_of_ae_eq_trim hf.ae_eq_mk)]
no goals
α : Type u_1
E : Type u_2
F : Type ?u.3174269
G : Type ?u.3174272
m m0 : MeasurableSpace α
p : ℝ≥0∞
q : ℝ
μ ν : Measure α
inst✝² : NormedAddCommGroup E
inst✝¹ : NormedAddCommGroup F
inst✝ : NormedAddCommGroup G
hm : m ≤ m0
f : α → E
hf : AEStronglyMeasurable f (Measure.trim ν hm)
⊢ snorm (AEStronglyMeasurable.mk f hf) p (Measure.trim ν hm) = snorm (AEStronglyMeasurable.mk f hf) p ν
exact snorm_trim hm hf.stronglyMeasurable_mk