case pos
α : Type u_1
β : Type ?u.544674
m : MeasurableSpace α
M : Type u_2
inst✝² : TopologicalSpace M
inst✝¹ : AddCommMonoid M
inst✝ : PartialOrder M
v w : VectorMeasure α M
i : Set α
h : ∀ ⦃j : Set α⦄, MeasurableSet j → j ⊆ i → ↑v j ≤ ↑w j
hi : MeasurableSet i
⊢ restrict v i ≤ restrict w i

case neg
α : Type u_1
β : Type ?u.544674
m : MeasurableSpace α
M : Type u_2
inst✝² : TopologicalSpace M
inst✝¹ : AddCommMonoid M
inst✝ : PartialOrder M
v w : VectorMeasure α M
i : Set α
h : ∀ ⦃j : Set α⦄, MeasurableSet j → j ⊆ i → ↑v j ≤ ↑w j
hi : ¬MeasurableSet i
⊢ restrict v i ≤ restrict w i
α : Type u_1
β : Type ?u.544674
m : MeasurableSpace α
M : Type u_2
inst✝² : TopologicalSpace M
inst✝¹ : AddCommMonoid M
inst✝ : PartialOrder M
v w : VectorMeasure α M
i : Set α
h : ∀ ⦃j : Set α⦄, MeasurableSet j → j ⊆ i → ↑v j ≤ ↑w j
⊢ restrict v i ≤ restrict w i
by_cases hi : MeasurableSet i
no goals
case pos
α : Type u_1
β : Type ?u.544674
m : MeasurableSpace α
M : Type u_2
inst✝² : TopologicalSpace M
inst✝¹ : AddCommMonoid M
inst✝ : PartialOrder M
v w : VectorMeasure α M
i : Set α
h : ∀ ⦃j : Set α⦄, MeasurableSet j → j ⊆ i → ↑v j ≤ ↑w j
hi : MeasurableSet i
⊢ restrict v i ≤ restrict w i
exact (restrict_le_restrict_iff _ _ hi).2 h
no goals
case neg
α : Type u_1
β : Type ?u.544674
m : MeasurableSpace α
M : Type u_2
inst✝² : TopologicalSpace M
inst✝¹ : AddCommMonoid M
inst✝ : PartialOrder M
v w : VectorMeasure α M
i : Set α
h : ∀ ⦃j : Set α⦄, MeasurableSet j → j ⊆ i → ↑v j ≤ ↑w j
hi : ¬MeasurableSet i
⊢ restrict v i ≤ restrict w i
rw [restrict_not_measurable v hi, restrict_not_measurable w hi]