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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 7012 | . 2 | |
5 | 1, 2, 3, 4 | mp3an 1232 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1243 wcel 1393 (class class class)co 5512 cc 6887 cmul 6894 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-mulass 6987 |
This theorem depends on definitions: df-bi 110 df-3an 887 |
This theorem is referenced by: 8th4div3 8144 numma 8398 decbin0 8470 |
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