X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fdama%2Fsandwich_corollary.ma;h=72da08236392c9d79b44be6462c732f55bc48641;hb=b3dd479a0a36aeea948dcea09336fe8dfec1462d;hp=8dafe1f63bcfed57912df44f4625c2ce08061043;hpb=c5cee90d95a54db8897a688f0bade4c503d82e15;p=helm.git diff --git a/helm/software/matita/dama/sandwich_corollary.ma b/helm/software/matita/dama/sandwich_corollary.ma index 8dafe1f63..72da08236 100644 --- a/helm/software/matita/dama/sandwich_corollary.ma +++ b/helm/software/matita/dama/sandwich_corollary.ma @@ -19,13 +19,13 @@ include "metric_lattice.ma". (* 3.17 *) lemma tends_uniq: ∀R.∀ml:mlattice R.∀xn:sequence ml. - ∀x,y:apart_of_metric_space ? ml. + ∀x,y:ml. (* BUG: it inserts a compesoed coercion instead of an hand made one, what to do? prefer the human made one or allow to kill a coercion? *) - xn ⇝ x → xn ⇝ y → x ≈ y. + xn ⇝ x → xn ⇝ y → δ x y ≈ 0. intros (R ml xn x y H1 H2); unfold tends0 in H1 H2; unfold d2s in H1 H2; -intro Axy; lapply (ap2delta R ml x y Axy) as ge0; +intro Axy; lapply (ap_le_to_lt ??? (ap_symmetric ??? Axy) (mpositive ? ml ??)) as ge0; cases (H1 (δ x y/1) (divide_preserves_lt ??? ge0)) (n1 Hn1); clear H1; cases (H2 (δ x y/1) (divide_preserves_lt ??? ge0)) (n2 Hn2); clear H2; letin N ≝ (S (n2 + n1));