interpretation "Existential pre-image ⊩⎻" 'ext x = (or_f_minus _ _ (rel x)).
definition A : ∀b:BP. unary_morphism (oa_P (form b)) (oa_P (form b)).
-intros; constructor 1; [ apply (λx.□_b (Ext⎽b x)); | intros; apply (†(†H));] qed.
+intros; constructor 1;
+ [ apply (λx.□_b (Ext⎽b x));
+ | do 2 unfold FunClass_1_OF_carr1; intros; apply (†(†H));]
+qed.
lemma xxx : ∀x.carr x → carr1 (setoid1_of_setoid x). intros; assumption; qed.
coercion xxx.
definition d_p_i :
- ∀S:setoid.∀I:setoid.∀d:unary_morphism S S.∀p:ums I S.ums I S.
-intros; constructor 1; [ apply (λi:I. u (c i));| intros; apply (†(†H));].
-qed.
+ ∀S,I:SET.∀d:unary_morphism S S.∀p:arrows1 SET I S.arrows1 SET I S.
+intros; constructor 1;
+ [ apply (λi:I. u (c i));
+ | unfold FunClass_1_OF_carr1; intros; apply (†(†H));].
+qed.
alias symbol "eq" = "setoid eq".
alias symbol "and" = "o-algebra binary meet".