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Mirrors > Home > ILE Home > Th. List > bijadc | Unicode version |
Description: Combine antecedents into a single biconditional. This inference is reminiscent of jadc 858. (Contributed by Jim Kingdon, 4-May-2018.) |
Ref | Expression |
---|---|
bijadc.1 | |
bijadc.2 |
Ref | Expression |
---|---|
bijadc | DECID |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | biimpr 129 | . . 3 | |
2 | bijadc.1 | . . 3 | |
3 | 1, 2 | syli 37 | . 2 |
4 | biimp 117 | . . . 4 | |
5 | 4 | con3d 626 | . . 3 |
6 | bijadc.2 | . . 3 | |
7 | 5, 6 | syli 37 | . 2 |
8 | 3, 7 | pm2.61ddc 856 | 1 DECID |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wb 104 DECID wdc 829 |
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-in1 609 ax-in2 610 ax-io 704 |
This theorem depends on definitions: df-bi 116 df-dc 830 |
This theorem is referenced by: (None) |
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