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Mirrors > Home > NFE Home > Th. List > sylanb | Unicode version |
Description: A syllogism inference. (Contributed by NM, 18-May-1994.) |
Ref | Expression |
---|---|
sylanb.1 | |
sylanb.2 |
Ref | Expression |
---|---|
sylanb |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sylanb.1 | . . 3 | |
2 | 1 | biimpi 186 | . 2 |
3 | sylanb.2 | . 2 | |
4 | 2, 3 | sylan 457 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 176 wa 358 |
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 177 df-an 360 |
This theorem is referenced by: syl2anb 465 anabsan 786 eqtr2 2371 pm13.181 2589 rmob 3134 sspsstr 3374 disjne 3596 xpcan2 5058 fssres 5238 funbrfvb 5360 fvco 5383 fvimacnvi 5402 ffvresb 5431 leaddc2 6215 lemuc2 6254 |
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