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authorGravatar Guillaume Melquiond <guillaume.melquiond@inria.fr>2015-12-07 10:52:14 +0100
committerGravatar Guillaume Melquiond <guillaume.melquiond@inria.fr>2015-12-07 10:52:24 +0100
commitdf3a49a18c5b01984000df9244ecea9c275b30cd (patch)
treed14afdb5de5f93e4301f8eba8bddecd5a6597f9a /theories/ZArith
parentfe2776f9e0d355cccb0841495a9843351d340066 (diff)
Fix some typos.
Diffstat (limited to 'theories/ZArith')
-rw-r--r--theories/ZArith/Zdiv.v2
-rw-r--r--theories/ZArith/Zpow_alt.v2
-rw-r--r--theories/ZArith/Zquot.v2
3 files changed, 3 insertions, 3 deletions
diff --git a/theories/ZArith/Zdiv.v b/theories/ZArith/Zdiv.v
index d0d10891a..363b4fd03 100644
--- a/theories/ZArith/Zdiv.v
+++ b/theories/ZArith/Zdiv.v
@@ -279,7 +279,7 @@ Proof. intros; rewrite Z.div_exact; auto. Qed.
Theorem Zmod_le: forall a b, 0 < b -> 0 <= a -> a mod b <= a.
Proof. intros. apply Z.mod_le; auto. Qed.
-(** Some additionnal inequalities about Z.div. *)
+(** Some additional inequalities about Z.div. *)
Theorem Zdiv_lt_upper_bound:
forall a b q, 0 < b -> a < q*b -> a/b < q.
diff --git a/theories/ZArith/Zpow_alt.v b/theories/ZArith/Zpow_alt.v
index 8f661a9c8..c8627477b 100644
--- a/theories/ZArith/Zpow_alt.v
+++ b/theories/ZArith/Zpow_alt.v
@@ -11,7 +11,7 @@ Local Open Scope Z_scope.
(** An alternative power function for Z *)
-(** This [Zpower_alt] is extensionnaly equal to [Z.pow],
+(** This [Zpower_alt] is extensionally equal to [Z.pow],
but not convertible with it. The number of
multiplications is logarithmic instead of linear, but
these multiplications are bigger. Experimentally, it seems
diff --git a/theories/ZArith/Zquot.v b/theories/ZArith/Zquot.v
index 3ef111898..6db92edb7 100644
--- a/theories/ZArith/Zquot.v
+++ b/theories/ZArith/Zquot.v
@@ -243,7 +243,7 @@ Proof. intros. zero_or_not b. intuition. apply Z.quot_exact; auto. Qed.
Theorem Zrem_le a b : 0 <= a -> 0 <= b -> Z.rem a b <= a.
Proof. intros. zero_or_not b. apply Z.rem_le; auto with zarith. Qed.
-(** Some additionnal inequalities about Zdiv. *)
+(** Some additional inequalities about Zdiv. *)
Theorem Zquot_le_upper_bound:
forall a b q, 0 < b -> a <= q*b -> a÷b <= q.