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Mirrors > Home > ILE Home > Th. List > mulassi | Unicode version |
Description: Associative law for multiplication. (Contributed by NM, 23-Nov-1994.) |
Ref | Expression |
---|---|
axi.1 |
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axi.2 |
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axi.3 |
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Ref | Expression |
---|---|
mulassi |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | axi.1 |
. 2
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2 | axi.2 |
. 2
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3 | axi.3 |
. 2
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4 | mulass 7971 |
. 2
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5 | 1, 2, 3, 4 | mp3an 1348 |
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 ax-mulass 7943 |
This theorem depends on definitions: df-bi 117 df-3an 982 |
This theorem is referenced by: 8th4div3 9167 numma 9456 decbin0 9552 sq4e2t8 10648 3dec 10725 ef01bndlem 11795 3dvdsdec 11901 3dvds2dec 11902 sincos4thpi 14713 sincos6thpi 14715 2lgsoddprmlem3d 14911 |
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