Theorem | Name |
Thm* as:(LabelT) List, d:T, x:Label. (x 1of(unzip(as))) apply_alist(as;x;d) = d | [apply_alist_non_member] |
cites | |
Thm* d:Top, l:Label. apply_alist(nil;l;d) ~ d | [apply_alist_nil] |
Thm* as:(LabelT) List, p:(LabelT), l:Label, d:T. apply_alist([p / as];l;d) ~ if 1of(p) = l 2of(p) else apply_alist(as;l;d) fi | [apply_alist_cons] |