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Mirrors > Home > ILE Home > Th. List > syl2anb | Unicode version |
Description: A double syllogism inference. (Contributed by NM, 29-Jul-1999.) |
Ref | Expression |
---|---|
syl2anb.1 | |
syl2anb.2 | |
syl2anb.3 |
Ref | Expression |
---|---|
syl2anb |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syl2anb.2 | . 2 | |
2 | syl2anb.1 | . . 3 | |
3 | syl2anb.3 | . . 3 | |
4 | 2, 3 | sylanb 278 | . 2 |
5 | 1, 4 | sylan2b 281 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 wb 103 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: sylancb 409 reupick3 3249 difprsnss 3524 trin2 4736 imadiflem 4998 fnun 5025 fco 5076 f1co 5121 foco 5136 f1oun 5166 f1oco 5169 eqfunfv 5291 ftpg 5368 issmo 5926 tfrlem5 5953 ener 6282 domtr 6288 unen 6316 xpdom2 6328 pm54.43 6459 axpre-lttrn 7050 axpre-mulgt0 7053 zmulcl 8404 qaddcl 8720 qmulcl 8722 rpaddcl 8757 rpmulcl 8758 rpdivcl 8759 xrltnsym 8868 xrlttri3 8872 ge0addcl 9004 ge0mulcl 9005 serige0 9473 expclzaplem 9500 expge0 9512 expge1 9513 qredeu 10479 |
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