X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Flibrary%2Fdama%2Fordered_uniform.ma;h=6f72cd2449cf34b60ad1fc9619661ef5b1ed56fb;hb=34cdd4af2d7bdac3bab74a54123fbfcb02fa0403;hp=99bcbbf050c1cac7c4bdd054fed79f40e047a434;hpb=c5a4db6c1020488d0792cee00dcf395a0ce54735;p=helm.git diff --git a/helm/software/matita/library/dama/ordered_uniform.ma b/helm/software/matita/library/dama/ordered_uniform.ma index 99bcbbf05..6f72cd244 100644 --- a/helm/software/matita/library/dama/ordered_uniform.ma +++ b/helm/software/matita/library/dama/ordered_uniform.ma @@ -46,9 +46,9 @@ definition invert_os_relation ≝ λC:ordered_set.λU:C squareO → Prop. λx:C squareO. U 〈\snd x,\fst x〉. -interpretation "relation invertion" 'invert a = (invert_os_relation _ a). -interpretation "relation invertion" 'invert_symbol = (invert_os_relation _). -interpretation "relation invertion" 'invert_appl a x = (invert_os_relation _ a x). +interpretation "relation invertion" 'invert a = (invert_os_relation ? a). +interpretation "relation invertion" 'invert_symbol = (invert_os_relation ?). +interpretation "relation invertion" 'invert_appl a x = (invert_os_relation ? a x). lemma hint_segment: ∀O. segment (Type_of_ordered_set O) → @@ -127,12 +127,12 @@ cases H; change in H1:(? ? ? %) with (\fst b); change in a with (hos_carr (half_segment_ordered_set ? s)); change in b with (hos_carr (half_segment_ordered_set ? s)); - apply rule H1; + apply rule (x2sx_ ? s ?? H1); | right; change in H1:(? ? % ?) with (\fst b); change in H1:(? ? ? %) with (\fst a); change in a with (hos_carr (half_segment_ordered_set ? s)); change in b with (hos_carr (half_segment_ordered_set ? s)); - apply rule H1;] + apply rule (x2sx_ ? s ?? H1);] qed. @@ -210,7 +210,7 @@ intros (O s); apply mk_ordered_uniform_space; qed. interpretation "Ordered uniform space segment" 'segset a = - (segment_ordered_uniform_space _ a). + (segment_ordered_uniform_space ? a). (* Lemma 3.2 *) alias symbol "pi1" = "exT \fst".