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Mirrors > Home > ILE Home > Th. List > dedlema | Unicode version |
Description: Lemma for iftrue 3484. (Contributed by NM, 26-Jun-2002.) (Proof shortened by Andrew Salmon, 7-May-2011.) |
Ref | Expression |
---|---|
dedlema |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | orc 702 |
. . 3
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2 | 1 | expcom 115 |
. 2
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3 | simpl 108 |
. . . 4
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4 | 3 | a1i 9 |
. . 3
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5 | pm2.24 611 |
. . . 4
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6 | 5 | adantld 276 |
. . 3
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7 | 4, 6 | jaod 707 |
. 2
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8 | 2, 7 | impbid 128 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
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 605 ax-io 699 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: iftrue 3484 |
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