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Mirrors > Home > ILE Home > Th. List > pm3.2an3 | Unicode version |
Description: pm3.2 137 for a triple conjunction. (Contributed by Alan Sare, 24-Oct-2011.) |
Ref | Expression |
---|---|
pm3.2an3 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm3.2 137 | . . 3 | |
2 | 1 | ex 113 | . 2 |
3 | df-3an 921 | . . 3 | |
4 | 3 | bicomi 130 | . 2 |
5 | 2, 4 | syl8ib 164 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 w3a 919 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 |
This theorem depends on definitions: df-bi 115 df-3an 921 |
This theorem is referenced by: 3exp 1137 |
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