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Mirrors > Home > ILE Home > Th. List > simp13 | Unicode version |
Description: Simplification of doubly triple conjunction. (Contributed by NM, 17-Nov-2011.) |
Ref | Expression |
---|---|
simp13 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simp3 1001 |
. 2
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2 | 1 | 3ad2ant1 1020 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 |
This theorem depends on definitions: df-bi 117 df-3an 982 |
This theorem is referenced by: simpl13 1076 simpr13 1085 simp113 1130 simp213 1139 simp313 1148 funtpg 5286 dvdsgcd 12044 coprimeprodsq 12288 pythagtriplem4 12299 pythagtriplem13 12307 pythagtriplem14 12308 pythagtriplem16 12310 pythagtrip 12314 |
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