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Mirrors > Home > ILE Home > Th. List > im2anan9 | Unicode version |
Description: Deduction joining nested implications to form implication of conjunctions. (Contributed by NM, 29-Feb-1996.) |
Ref | Expression |
---|---|
im2an9.1 | |
im2an9.2 |
Ref | Expression |
---|---|
im2anan9 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | im2an9.1 | . . 3 | |
2 | 1 | adantr 261 | . 2 |
3 | im2an9.2 | . . 3 | |
4 | 3 | adantl 262 | . 2 |
5 | 2, 4 | anim12d 318 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: im2anan9r 531 trin 3864 xpss12 4445 f1oun 5146 poxp 5853 brecop 6196 enq0sym 6530 genpdisj 6621 |
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