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Mirrors > Home > ILE Home > Th. List > dedlema | Unicode version |
Description: Lemma for iftrue 3336. (Contributed by NM, 26-Jun-2002.) (Proof shortened by Andrew Salmon, 7-May-2011.) |
Ref | Expression |
---|---|
dedlema |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | orc 633 | . . 3 | |
2 | 1 | expcom 109 | . 2 |
3 | simpl 102 | . . . 4 | |
4 | 3 | a1i 9 | . . 3 |
5 | pm2.24 551 | . . . 4 | |
6 | 5 | adantld 263 | . . 3 |
7 | 4, 6 | jaod 637 | . 2 |
8 | 2, 7 | impbid 120 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wa 97 wb 98 wo 629 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-in2 545 ax-io 630 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: iftrue 3336 |
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