...

[helm.git] / helm / software / matita / tests / a.ma

diff --git a/helm/software/matita/tests/a.ma b/helm/software/matita/tests/a.ma
index 8ca9e669aa06681de53c3cfb98a4d3ce1883317b..e6dac496cecec0e8cabfab3e6c818274afd3c889 100644 (file)
--- a/helm/software/matita/tests/a.ma
+++ b/helm/software/matita/tests/a.ma
@@ -18,13 +18,40 @@ axiom C : Prop.
 axiom a: A.
 axiom b: B.
 
+definition xxx ≝ A.
 
 notation "#" non associative with precedence 90 for @{ 'sharp }.
 interpretation "a" 'sharp = a.
-interpretation "b" 'sharp = b. 
+interpretation "b" 'sharp = b.
 
-ntheorem prova : ((A → A → B) → (A → B) → C) → C.
-# H;
-napply (H ? ?) [#L | #K1; #K2]
+definition k : A → A ≝ λx.a.
+definition k1 : A → A ≝ λx.a.
+
+axiom P : A → Prop.
+
+include "nat/plus.ma".
+
+ntheorem pappo : ∀n:nat.n = S n + n → S n = (S (S n)).
+#m; #H; napply (let pippo ≝ (S m) in ?);
+nchange in match (S m) in ⊢ (?) with pippo;  
+
+nletin pippo ≝ (S m) in H ⊢ (?); 
+
+nwhd in H:(???%); 
+nchange in match (S ?) in H:% ⊢ (? → %) with (pred (S ?));  
+ntaint;
+
+ngeneralize in match m in ⊢ %;   in ⊢ (???% → ??%?);
+STOP 
+ncases (O) in m : % (*H : (??%?)*) ⊢ (???%);
+nelim (S m) in H : (??%?) ⊢ (???%);
+STOP;
+
+ntheorem pippo : ∀x:A. P (k x).
+nchange in match (k x) in ⊢ (∀_.%) with (k1 x); STOP
+
+ntheorem prova : (A → A → C) → C.
+napply (λH.?);
+napply (H ? ?); nchange A xxx; 
 napply #.
 nqed. 
\ No newline at end of file