From 2f1e2d96352d3e21e8e5fc02ce5b441e3981fa31 Mon Sep 17 00:00:00 2001
From: jihgfee <jihgfee@gmail.com>
Date: Wed, 22 Apr 2020 11:43:27 +0200
Subject: [PATCH] More clean up

---
 theories/logrel/subtyping.v | 33 +++++++++++++--------------------
 1 file changed, 13 insertions(+), 20 deletions(-)

diff --git a/theories/logrel/subtyping.v b/theories/logrel/subtyping.v
index 378f15e..6fe8318 100644
--- a/theories/logrel/subtyping.v
+++ b/theories/logrel/subtyping.v
@@ -324,8 +324,7 @@ Section subtype.
       + rewrite /lsty_select /lsty_choice.
         iApply iProto_le_send.
         iIntros "!>" (x HSs). iExists _ => /=.
-        iSplit; first done.
-        iSplit.
+        iSplit; first done. iSplit.
         * rewrite lookup_fmap in HSs. rewrite ->fmap_is_Some in HSs. done.
         * destruct HSs as [S HSs]=> /=.
           rewrite !lookup_total_alt HSs /=.
@@ -334,8 +333,7 @@ Section subtype.
           iApply iProto_le_refl.
       + rewrite /lsty_select /lsty_choice.
         iApply iProto_le_send.
-        iIntros "!>" (x HSs).
-        iExists _.
+        iIntros "!>" (x HSs). iExists _.
         iSplit; first done. iSplit.
         * by rewrite lookup_fmap fmap_is_Some.
         * destruct HSs as [S HSs]=> /=.
@@ -346,16 +344,14 @@ Section subtype.
       + rewrite /lsty_select /lsty_choice.
         iApply iProto_le_recv.
         iIntros "!>" (x HSs). iExists _ => /=.
-        iSplit; first done.
-        iSplit.
+        iSplit; first done. iSplit.
         * by rewrite lookup_fmap fmap_is_Some.
         * destruct HSs as [S HSs]=> /=.
           rewrite !lookup_total_alt lookup_fmap HSs.
           iApply iProto_le_refl.
       + rewrite /lsty_select /lsty_choice.
         iApply iProto_le_recv.
-        iIntros "!>" (x HSs).
-        iExists _.
+        iIntros "!>" (x HSs). iExists _.
         iSplit; first done. iSplit.
         * rewrite lookup_fmap in HSs. rewrite ->fmap_is_Some in HSs. done.
         * destruct HSs as [S HSs]=> /=.
@@ -407,16 +403,14 @@ Section subtype.
       + rewrite /lsty_select /lsty_choice.
         iApply iProto_le_recv.
         iIntros "!>" (x HSs). iExists _ => /=.
-        iSplit; first done.
-        iSplit.
+        iSplit; first done. iSplit.
         * by rewrite lookup_fmap fmap_is_Some.
         * destruct HSs as [S HSs]=> /=.
           rewrite !lookup_total_alt lookup_fmap HSs.
           iApply iProto_le_refl.
       + rewrite /lsty_select /lsty_choice.
         iApply iProto_le_recv.
-        iIntros "!>" (x HSs).
-        iExists _.
+        iIntros "!>" (x HSs). iExists _.
         iSplit; first done. iSplit.
         * rewrite lookup_fmap in HSs. rewrite ->fmap_is_Some in HSs. done.
         * destruct HSs as [S HSs]=> /=.
@@ -429,14 +423,13 @@ Section subtype.
       + rewrite /lsty_select /lsty_choice.
         iApply iProto_le_send.
         iIntros "!>" (x HSs). iExists _ => /=.
-        iSplit; first done.
-        iSplit.
-      * rewrite lookup_fmap in HSs. rewrite ->fmap_is_Some in HSs. done.
-      * destruct HSs as [S HSs]=> /=.
-        rewrite !lookup_total_alt HSs /=.
-        rewrite lookup_fmap in HSs.
-        apply fmap_Some_1 in HSs as [S' [-> ->]].
-        iApply iProto_le_refl.
+        iSplit; first done. iSplit.
+        * rewrite lookup_fmap in HSs. rewrite ->fmap_is_Some in HSs. done.
+        * destruct HSs as [S HSs]=> /=.
+          rewrite !lookup_total_alt HSs /=.
+          rewrite lookup_fmap in HSs.
+          apply fmap_Some_1 in HSs as [S' [-> ->]].
+          iApply iProto_le_refl.
       + rewrite /lsty_select /lsty_choice.
         iApply iProto_le_send.
         iIntros "!>" (x HSs).
-- 
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