X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_1%2Flift%2Ftlt.ma;h=5adcfd6d895e5ff749ce4d90135516520c47a884;hb=57ae1762497a5f3ea75740e2908e04adb8642cc2;hp=d66d095ef9004493d2fdaa6c81f3ac19dbbbaa5e;hpb=639e798161afea770f41d78673c0fe3be4125beb;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_1/lift/tlt.ma b/matita/matita/contribs/lambdadelta/basic_1/lift/tlt.ma index d66d095ef..5adcfd6d8 100644 --- a/matita/matita/contribs/lambdadelta/basic_1/lift/tlt.ma +++ b/matita/matita/contribs/lambdadelta/basic_1/lift/tlt.ma @@ -18,7 +18,7 @@ include "basic_1/lift/props.ma". include "basic_1/tlt/props.ma". -theorem lift_weight_map: +lemma lift_weight_map: \forall (t: T).(\forall (h: nat).(\forall (d: nat).(\forall (f: ((nat \to nat))).(((\forall (m: nat).((le d m) \to (eq nat (f m) O)))) \to (eq nat (weight_map f (lift h d t)) (weight_map f t)))))) @@ -106,7 +106,7 @@ t0)) (weight_map f (lift h d t1))) (plus (weight_map f t0) (weight_map f t1)) (lift h d (THead (Flat f0) t0 t1)) (lift_head (Flat f0) t0 t1 h d))) k)))))))))) t). -theorem lift_weight: +lemma lift_weight: \forall (t: T).(\forall (h: nat).(\forall (d: nat).(eq nat (weight (lift h d t)) (weight t)))) \def @@ -114,7 +114,7 @@ t)) (weight t)))) (\lambda (_: nat).O) (\lambda (m: nat).(\lambda (_: (le d m)).(refl_equal nat O)))))). -theorem lift_weight_add: +lemma lift_weight_add: \forall (w: nat).(\forall (t: T).(\forall (h: nat).(\forall (d: nat).(\forall (f: ((nat \to nat))).(\forall (g: ((nat \to nat))).(((\forall (m: nat).((lt m d) \to (eq nat (g m) (f m))))) \to ((eq nat (g d) w) \to @@ -262,7 +262,7 @@ t0)) (weight_map f (lift h d t1))) (plus (weight_map g (lift (S h) d t0)) (lift h d (THead (Flat f0) t0 t1)) (lift_head (Flat f0) t0 t1 h d))) k))))))))))))) t)). -theorem lift_weight_add_O: +lemma lift_weight_add_O: \forall (w: nat).(\forall (t: T).(\forall (h: nat).(\forall (f: ((nat \to nat))).(eq nat (weight_map f (lift h O t)) (weight_map (wadd f w) (lift (S h) O t)))))) @@ -273,7 +273,7 @@ nat))).(lift_weight_add (minus (wadd f w O) O) t h O f (wadd f w) (\lambda (minus_n_O (wadd f w O)) (\lambda (m: nat).(\lambda (_: (le O m)).(refl_equal nat (f m)))))))). -theorem lift_tlt_dx: +lemma lift_tlt_dx: \forall (k: K).(\forall (u: T).(\forall (t: T).(\forall (h: nat).(\forall (d: nat).(tlt t (THead k u (lift h d t))))))) \def