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Mirrors > Home > NFE Home > Th. List > 3simpc | Unicode version |
Description: Simplification of triple conjunction. (Contributed by NM, 21-Apr-1994.) (Proof shortened by Andrew Salmon, 13-May-2011.) |
Ref | Expression |
---|---|
3simpc |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3anrot 939 |
. 2
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2 | 3simpa 952 |
. 2
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3 | 1, 2 | sylbi 187 |
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 df-3an 936 |
This theorem is referenced by: simp3 957 3adant1 973 3adantl1 1111 3adantr1 1114 eupickb 2269 |
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