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authorGravatar barras <barras@85f007b7-540e-0410-9357-904b9bb8a0f7>2003-12-24 10:27:08 +0000
committerGravatar barras <barras@85f007b7-540e-0410-9357-904b9bb8a0f7>2003-12-24 10:27:08 +0000
commit38734c5e122e9a38cf5b8afc586f47abced11361 (patch)
tree2227afa958bf809d9152b526e29f183b552e5e61 /theories/Reals/Rtrigo_alt.v
parentc69ae2a1f05db124c19b7f326ca23e980f643198 (diff)
changement de pose en set (pose n'etait pas utilise avec la semantique
documentee). Reste a retablir la semantique de pose. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5141 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Reals/Rtrigo_alt.v')
-rw-r--r--theories/Reals/Rtrigo_alt.v4
1 files changed, 2 insertions, 2 deletions
diff --git a/theories/Reals/Rtrigo_alt.v b/theories/Reals/Rtrigo_alt.v
index c1ffc68ea..098d4c730 100644
--- a/theories/Reals/Rtrigo_alt.v
+++ b/theories/Reals/Rtrigo_alt.v
@@ -61,7 +61,7 @@ cut
a + sum_f_R0 (fun i:nat => sin_term a (S i)) (pred (2 * n + 1)) <= sin a /\
sin a <= a + sum_f_R0 (fun i:nat => sin_term a (S i)) (pred (2 * (n + 1)))).
intro; apply H1.
-pose (Un := fun n:nat => a ^ (2 * S n + 1) / INR (fact (2 * S n + 1))).
+set (Un := fun n:nat => a ^ (2 * S n + 1) / INR (fact (2 * S n + 1))).
replace (pred (2 * n + 1)) with (2 * n)%nat.
replace (pred (2 * (n + 1))) with (S (2 * n)).
replace (sum_f_R0 (fun i:nat => sin_term a (S i)) (2 * n)) with
@@ -256,7 +256,7 @@ cut
cos a0 <=
1 + sum_f_R0 (fun i:nat => cos_term a0 (S i)) (pred (2 * (n0 + 1)))).
intro; apply H2.
-pose (Un := fun n:nat => a0 ^ (2 * S n) / INR (fact (2 * S n))).
+set (Un := fun n:nat => a0 ^ (2 * S n) / INR (fact (2 * S n))).
replace (pred (2 * n0 + 1)) with (2 * n0)%nat.
replace (pred (2 * (n0 + 1))) with (S (2 * n0)).
replace (sum_f_R0 (fun i:nat => cos_term a0 (S i)) (2 * n0)) with