Bug fixed: conjectures were printed in the wrong order.

[helm.git] / helm / gTopLevel / esempi / fourier.cic

diff --git a/helm/gTopLevel/esempi/fourier.cic b/helm/gTopLevel/esempi/fourier.cic
index cae3925a7102fc58a1539f7c2a72e6994ff76374..dc883e4e4888fd11463339122b528af7320bd3d7 100644 (file)
--- a/helm/gTopLevel/esempi/fourier.cic
+++ b/helm/gTopLevel/esempi/fourier.cic
@@ -1,8 +1,53 @@
 alias Rge       /Coq/Reals/Rdefinitions/Rge.con
 alias Rle       /Coq/Reals/Rdefinitions/Rle.con
+alias Rgt       /Coq/Reals/Rdefinitions/Rgt.con
+alias Rlt       /Coq/Reals/Rdefinitions/Rlt.con
+alias Ropp     /Coq/Reals/Rdefinitions/Ropp.con
+alias Rinv     /Coq/Reals/Rdefinitions/Rinv.con
 alias Rplus     /Coq/Reals/Rdefinitions/Rplus.con
 alias Rminus    /Coq/Reals/Rdefinitions/Rminus.con
+alias Rmult    /Coq/Reals/Rdefinitions/Rmult.con
 alias R1        /Coq/Reals/Rdefinitions/R1.con
+alias R0        /Coq/Reals/Rdefinitions/R0.con
 alias R        /Coq/Reals/Rdefinitions/R.con
+alias eqT      /Coq/Init/Logic_Type/eqT.ind#1/1
+alias not      /Coq/Init/Logic/not.con
 
+
+//test base1 ok
 !x:R.!y:R.(Rle x y) -> (Rge (Rplus y R1) (Rminus x R1))
+
+//test base2 ok
+!x:R.!y:R.(Rlt x y) -> (Rgt (Rplus y R1) (Rminus x R1))
+
+//test base3 ok
+!x:R.!y:R.(Rge x y) -> (Rlt (Rplus y R1) (Rplus x (Rplus R1 R1)))
+
+/Coq/fourier/Fourier_util/Rfourier_not_ge_lt.con
+
+/Coq/Init/Logic/False.ind#1/1
+
+(Rle (Rplus (Rmult (Rmult R1 (Rinv R1)) (Rplus x (Rplus R1 R1))) (Rmult (Rmult R1 (Rinv R1)) y)) (Rplus (Rmult (Rmult R1 (Rinv R1)) (Rplus y R1)) (Rmult (Rmult R1 (Rinv R1)) x)))
+
+/Coq/fourier/Fourier_util/Rnot_le_le.con
+
+t1=(Rplus (Rmult (Rmult R1 (Rinv R1)) (Rplus x (Rplus R1 R1))) (Rmult (Rmult R1 (Rinv R1)) y))
+t2=(Rplus (Rmult (Rmult R1 (Rinv R1)) (Rplus y R1)) (Rmult (Rmult R1 (Rinv R1)) x))
+tc=(Rmult (Ropp R1) (Rinv R1))
+
+rewrite=(eqT R (Rminus (Rplus (Rmult (Rmult R1 (Rinv R1)) (Rplus y R1)) (Rmult (Rmult R1 (Rinv R1)) x))
+ (Rplus (Rmult (Rmult R1 (Rinv R1)) (Rplus x (Rplus R1 R1))) (Rmult (Rmult R1 (Rinv R1)) y))) (Rmult (Ropp R1) (Rinv R1)))
+
+//test base4 ok
+!x:R.!y:R.(Rgt x y) -> (Rle (Rminus y R1) (Rplus x R1))
+
+//test base5 ok
+!x:R.!y:R.(Rlt x ( Rplus y R1 ) ) -> (Rge (Rplus y (Rplus R1 R1)) (Rminus x R0))
+
+//test base6 ok
+!x:R.!y:R.(eqT R x y) -> (Rgt (Rplus y R1) (Rminus x R1))
+
+//test base7 (should fail) ok
+!x:R.!y:R.(Rlt x y) -> (Rlt (Rplus y R1) (Rminus x R1))
+
+