Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > dedlema | Unicode version |
Description: Lemma for iftrue 3530. (Contributed by NM, 26-Jun-2002.) (Proof shortened by Andrew Salmon, 7-May-2011.) |
Ref | Expression |
---|---|
dedlema |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | orc 707 | . . 3 | |
2 | 1 | expcom 115 | . 2 |
3 | simpl 108 | . . . 4 | |
4 | 3 | a1i 9 | . . 3 |
5 | pm2.24 616 | . . . 4 | |
6 | 5 | adantld 276 | . . 3 |
7 | 4, 6 | jaod 712 | . 2 |
8 | 2, 7 | impbid 128 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wa 103 wb 104 wo 703 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-in2 610 ax-io 704 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: iftrue 3530 |
Copyright terms: Public domain | W3C validator |