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-rwxr-xr-xtheories/Arith/Arith.v3
-rw-r--r--theories/Logic/Berardi.v4
2 files changed, 3 insertions, 4 deletions
diff --git a/theories/Arith/Arith.v b/theories/Arith/Arith.v
index 3f1292765..b076de2af 100755
--- a/theories/Arith/Arith.v
+++ b/theories/Arith/Arith.v
@@ -15,7 +15,6 @@ Require Export Gt.
Require Export Minus.
Require Export Mult.
Require Export Between.
-Require Export Minus.
Require Export Peano_dec.
Require Export Compare_dec.
-Require Export Factorial. \ No newline at end of file
+Require Export Factorial.
diff --git a/theories/Logic/Berardi.v b/theories/Logic/Berardi.v
index cc38078f2..f612e92d2 100644
--- a/theories/Logic/Berardi.v
+++ b/theories/Logic/Berardi.v
@@ -10,7 +10,7 @@
(** This file formalizes Berardi's paradox which says that in
the calculus of constructions, excluded middle (EM) and axiom of
- choice (AC) implie proof irrelevenace (PI).
+ choice (AC) imply proof irrelevance (PI).
Here, the axiom of choice is not necessary because of the use
of inductive types.
<<
@@ -156,4 +156,4 @@ intros not_true is_true.
elim not_true; trivial.
Qed.
-End Berardis_paradox. \ No newline at end of file
+End Berardis_paradox.