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Mirrors > Home > ILE Home > Th. List > syl2im | Unicode version |
Description: Replace two antecedents. Implication-only version of syl2an 287. (Contributed by Wolf Lammen, 14-May-2013.) |
Ref | Expression |
---|---|
syl2im.1 | |
syl2im.2 | |
syl2im.3 |
Ref | Expression |
---|---|
syl2im |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syl2im.1 | . 2 | |
2 | syl2im.2 | . . 3 | |
3 | syl2im.3 | . . 3 | |
4 | 2, 3 | syl5 32 | . 2 |
5 | 1, 4 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 |
This theorem is referenced by: syl2imc 39 sylc 62 bi3ant 223 pm3.12dc 948 pm3.13dc 949 nfrimi 1513 abnex 4425 vtoclr 4652 funopg 5222 xpider 6572 ixxssixx 9838 difelfzle 10069 txcnp 12911 bj-inf2vnlem1 13852 |
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