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Mirrors > Home > ILE Home > Th. List > anim12dan | Unicode version |
Description: Conjoin antecedents and consequents in a deduction. (Contributed by Mario Carneiro, 12-May-2014.) |
Ref | Expression |
---|---|
anim12dan.1 | |
anim12dan.2 |
Ref | Expression |
---|---|
anim12dan |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | anim12dan.1 | . . . 4 | |
2 | 1 | ex 114 | . . 3 |
3 | anim12dan.2 | . . . 4 | |
4 | 3 | ex 114 | . . 3 |
5 | 2, 4 | anim12d 333 | . 2 |
6 | 5 | imp 123 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: xpexr2m 5050 isocnv 5787 f1oiso 5802 f1oiso2 5803 f1o2ndf1 6204 xpf1o 6818 pc11 12271 mhmpropd 12676 tgclb 12818 innei 12916 txcn 13028 lgsdir2 13687 |
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