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Mirrors > Home > NFE Home > Th. List > jcad | Unicode version |
Description: Deduction conjoining the consequents of two implications. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Wolf Lammen, 23-Jul-2013.) |
Ref | Expression |
---|---|
jcad.1 | |
jcad.2 |
Ref | Expression |
---|---|
jcad |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | jcad.1 | . 2 | |
2 | jcad.2 | . 2 | |
3 | pm3.2 434 | . 2 | |
4 | 1, 2, 3 | syl6c 60 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wa 358 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 177 df-an 360 |
This theorem is referenced by: jctild 527 jctird 528 ancld 536 ancrd 537 anim12ii 553 oplem1 930 rr19.28v 2981 tfinltfinlem1 4500 iss 5000 funssres 5144 elpreima 5407 mapsn 6026 enadjlem1 6059 leltctr 6212 nchoicelem8 6296 |
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