Rank | Theorem | Name |
4 | Thm* eq:EqDecider(A), f,g:a:A fp-> Top, x:A, z:Top.
Thm* f g(x)?z ~ if x dom(f) f(x)?z else g(x)?z fi | [fpf-join-cap-sq] |
cites the following: |
3 | Thm* B:(A Type), eq:EqDecider(A), f,g:a:A fp-> B(a), x:A.
Thm* x dom(f g)  x dom(f) x dom(g) | [fpf-join-dom] |
0 | Thm* eq:EqDecider(A), f:a:A fp-> Top, g:Top, x:A.
Thm* f g(x) ~ if x dom(f) f(x) else g(x) fi | [fpf-join-ap-sq] |