Skip to content

Commit 5c647b7

Browse files
committed
Update ENNReal.lean
1 parent 9943590 commit 5c647b7

1 file changed

Lines changed: 0 additions & 3 deletions

File tree

Mathlib/Order/Filter/ENNReal.lean

Lines changed: 0 additions & 3 deletions
Original file line numberDiff line numberDiff line change
@@ -105,7 +105,6 @@ variable {ι : Type*} {f : Filter ι} {u : ι → ℝ≥0}
105105
· exact hx₀.trans hb₀
106106
· exact hb _ hx₀ hx
107107

108-
set_option backward.isDefEq.respectTransparency false in
109108
@[simp]
110109
lemma limsSup_of_not_isBounded {f : Filter ℝ≥0} (hf : ¬ f.IsBounded (· ≤ ·)) : limsSup f = 0 := by
111110
rw [limsSup, ← bot_eq_zero]
@@ -124,7 +123,6 @@ lemma limsup_of_not_isBoundedUnder (hf : ¬ f.IsBoundedUnder (· ≤ ·) u) : li
124123
lemma liminf_of_not_isCoboundedUnder (hf : ¬ f.IsCoboundedUnder (· ≥ ·) u) : liminf u f = 0 :=
125124
limsInf_of_not_isCobounded hf
126125

127-
set_option backward.isDefEq.respectTransparency false in
128126
@[simp, norm_cast]
129127
lemma toReal_liminf : liminf (fun i ↦ (u i : ℝ)) f = liminf u f := by
130128
by_cases hf : f.IsCoboundedUnder (· ≥ ·) u; swap
@@ -136,7 +134,6 @@ lemma toReal_liminf : liminf (fun i ↦ (u i : ℝ)) f = liminf u f := by
136134
refine forall₂_congr fun r hr ↦ ?_
137135
simpa using (le_or_gt 0 r).imp_right fun hr ↦ .of_forall fun i ↦ hr.trans_le (by simp)
138136

139-
set_option backward.isDefEq.respectTransparency false in
140137
@[simp, norm_cast]
141138
lemma toReal_limsup : limsup (fun i ↦ (u i : ℝ)) f = limsup u f := by
142139
obtain rfl | hf := f.eq_or_neBot

0 commit comments

Comments
 (0)