theorem ialdh {x: nat} (a b: wff x): $ F/ x a $ > $ a -> b $ > $ a -> A. x b $;
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hyp h2 | a -> b |
|
2 | 1 | alimi | A. x a -> A. x b |
3 | hyp h1 | F/ x a |
|
4 | 3 | nfi | a -> A. x a |
5 | 2, 4 | syl | a -> A. x b |