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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 | |
axi.2 | |
axi.3 |
Ref | Expression |
---|---|
mulassi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | axi.1 | . 2 | |
2 | axi.2 | . 2 | |
3 | axi.3 | . 2 | |
4 | mulass 7719 | . 2 | |
5 | 1, 2, 3, 4 | mp3an 1300 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1316 wcel 1465 (class class class)co 5742 cc 7586 cmul 7593 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-mulass 7691 |
This theorem depends on definitions: df-bi 116 df-3an 949 |
This theorem is referenced by: 8th4div3 8907 numma 9193 decbin0 9289 sq4e2t8 10358 3dec 10429 ef01bndlem 11390 3dvdsdec 11489 3dvds2dec 11490 sincos4thpi 12848 sincos6thpi 12850 |
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