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authorletouzey2010-11-02 15:10:50 +0000
committerletouzey2010-11-02 15:10:50 +0000
commit8e5cae9a9f8edbedc2fb2451d32dc18af89cfa40 (patch)
tree078003a6c219d021755bca4cc477f5d82b1c0540 /theories/Numbers/Natural
parent0cb098205ba6d85674659bf5d0bfc0ed942464cc (diff)
NZLog : since spec is complete, no need for morphism axiom log2_wd
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13608 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Numbers/Natural')
-rw-r--r--theories/Numbers/Natural/Binary/NBinary.v1
-rw-r--r--theories/Numbers/Natural/Peano/NPeano.v1
-rw-r--r--theories/Numbers/Natural/SpecViaZ/NSigNAxioms.v2
3 files changed, 0 insertions, 4 deletions
diff --git a/theories/Numbers/Natural/Binary/NBinary.v b/theories/Numbers/Natural/Binary/NBinary.v
index 97e7b36784..34b44d3c60 100644
--- a/theories/Numbers/Natural/Binary/NBinary.v
+++ b/theories/Numbers/Natural/Binary/NBinary.v
@@ -160,7 +160,6 @@ Proof. destruct b; discriminate. Qed.
(** Log2 *)
-Program Instance log2_wd : Proper (eq==>eq) Nlog2.
Definition log2_spec := Nlog2_spec.
Definition log2_nonpos := Nlog2_nonpos.
diff --git a/theories/Numbers/Natural/Peano/NPeano.v b/theories/Numbers/Natural/Peano/NPeano.v
index 3255fda683..6502cfa555 100644
--- a/theories/Numbers/Natural/Peano/NPeano.v
+++ b/theories/Numbers/Natural/Peano/NPeano.v
@@ -444,7 +444,6 @@ Definition pow_succ_r := pow_succ_r.
Lemma pow_neg_r : forall a b, b<0 -> a^b = 0. inversion 1. Qed.
Definition pow := pow.
-Program Instance log2_wd : Proper (eq==>eq) log2.
Definition log2_spec := log2_spec.
Definition log2_nonpos := log2_nonpos.
Definition log2 := log2.
diff --git a/theories/Numbers/Natural/SpecViaZ/NSigNAxioms.v b/theories/Numbers/Natural/SpecViaZ/NSigNAxioms.v
index 64dcd1967e..3620045d1e 100644
--- a/theories/Numbers/Natural/SpecViaZ/NSigNAxioms.v
+++ b/theories/Numbers/Natural/SpecViaZ/NSigNAxioms.v
@@ -245,8 +245,6 @@ Qed.
(** Log2 *)
-Program Instance log2_wd : Proper (eq==>eq) log2.
-
Lemma log2_spec : forall n, 0<n ->
2^(log2 n) <= n /\ n < 2^(succ (log2 n)).
Proof.