From e5bb24e7da7ec4b27aea4d3e49b5122b55753e98 Mon Sep 17 00:00:00 2001
From: Jacques-Henri Jourdan <jjourdan@mpi-sws.org>
Date: Wed, 5 Apr 2017 16:41:12 +0200
Subject: [PATCH] Typos.

---
 theories/base_logic/upred.v | 15 ++++++++-------
 1 file changed, 8 insertions(+), 7 deletions(-)

diff --git a/theories/base_logic/upred.v b/theories/base_logic/upred.v
index eec44f42d..5beea6517 100644
--- a/theories/base_logic/upred.v
+++ b/theories/base_logic/upred.v
@@ -18,16 +18,17 @@ Record uPred (M : ucmraT) : Type := IProp {
      otherwise this condition is no longer limit preserving, and uPred
      does no longer form a COFE (i.e., [uPred_compl] breaks). This is
      because the distance and equivalence on this cofe ignores the
-     truth valid on invalid elements. This, in turns, is required by
+     truth value on invalid elements. This, in turn, is required by
      the fact that entailment has to ignore invalid elements, which is
      itself essential for proving [ownM_valid].
 
-     We could, actually, make the following condition true even for
-     invalid elements: we have proved that uPred is isomorphic to a
-     sub-COFE of the COFE of predicates that are monotonous both with
-     respect to the step index and with respect to x. However, that
-     would essentially require changing (by making more complicated)
-     the model of many connectives of the logic, which we don't want. *)
+     We could, actually, remove this restriction and make this
+     condition apply even to invalid elements: we have proved that
+     uPred is isomorphic to a sub-COFE of the COFE of predicates that
+     are monotonous both with respect to the step index and with
+     respect to x. However, that would essentially require changing
+     (by making it more complicated) the model of many connectives of
+     the logic, which we don't want. *)
   uPred_closed n1 n2 x : uPred_holds n1 x → n2 ≤ n1 → ✓{n2} x → uPred_holds n2 x
 }.
 Arguments uPred_holds {_} _ _ _ : simpl never.
-- 
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