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Mirrors > Home > MPE Home > Th. List > anim12ii | Structured version Visualization version Unicode version |
Description: Conjoin antecedents and consequents in a deduction. (Contributed by NM, 11-Nov-2007.) (Proof shortened by Wolf Lammen, 19-Jul-2013.) |
Ref | Expression |
---|---|
anim12ii.1 | |
anim12ii.2 |
Ref | Expression |
---|---|
anim12ii |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | anim12ii.1 | . . 3 | |
2 | 1 | adantr 481 | . 2 |
3 | anim12ii.2 | . . 3 | |
4 | 3 | adantl 482 | . 2 |
5 | 2, 4 | jcad 555 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wa 384 |
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 197 df-an 386 |
This theorem is referenced by: euim 2523 2mo 2551 elex22 3217 tz7.2 5098 funcnvuni 7119 upgrwlkdvdelem 26632 funressnfv 41208 |
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