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Mirrors > Home > ILE Home > Th. List > jca31 | Unicode version |
Description: Join three consequents. (Contributed by Jeff Hankins, 1-Aug-2009.) |
Ref | Expression |
---|---|
jca31.1 |
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jca31.2 |
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jca31.3 |
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Ref | Expression |
---|---|
jca31 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | jca31.1 |
. . 3
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2 | jca31.2 |
. . 3
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3 | 1, 2 | jca 306 |
. 2
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4 | jca31.3 |
. 2
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5 | 3, 4 | jca 306 |
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-ia3 108 |
This theorem is referenced by: 3jca 1177 syl21anbrc 1182 syl21anc 1237 f1oiso2 5827 exmidapne 7258 nnnq0lem1 7444 prmuloc 7564 suplocexprlemex 7720 prsrlem1 7740 apreap 8543 lemulge11 8822 elnnz 9262 supinfneg 9594 infsupneg 9595 leexp1a 10574 faclbnd6 10723 zfz1isolem1 10819 oddpwdclemdc 12172 ennnfonelemf1 12418 grpidinv2 12927 dvdsrzring 13463 cncnp2m 13701 bj-charfun 14529 |
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