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Mirrors > Home > ILE Home > Th. List > 3simpb | Unicode version |
Description: Simplification of triple conjunction. (Contributed by NM, 21-Apr-1994.) |
Ref | Expression |
---|---|
3simpb |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3ancomb 953 |
. 2
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2 | 3simpa 961 |
. 2
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3 | 1, 2 | sylbi 120 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 |
This theorem depends on definitions: df-bi 116 df-3an 947 |
This theorem is referenced by: 3adant2 983 3adantl2 1121 3adantr2 1124 enq0tr 7190 ixxssixx 9578 rebtwn2zlemshrink 9924 zsumdc 11045 muldvds1 11366 dvds2add 11375 dvds2sub 11376 dvdstr 11378 pw2dvdslemn 11688 ctinf 11788 |
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