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Mirrors > Home > NFE Home > Th. List > sylancom | Unicode version |
Description: Syllogism inference with commutation of antecedents. (Contributed by NM, 2-Jul-2008.) |
Ref | Expression |
---|---|
sylancom.1 |
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sylancom.2 |
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Ref | Expression |
---|---|
sylancom |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sylancom.1 |
. 2
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2 | simpr 447 |
. 2
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3 | sylancom.2 |
. 2
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4 | 1, 2, 3 | syl2anc 642 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() |
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: fimacnvdisj 5245 |
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