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Mirrors > Home > ILE Home > Th. List > mulcomi | Unicode version |
Description: Commutative law for multiplication. (Contributed by NM, 23-Nov-1994.) |
Ref | Expression |
---|---|
axi.1 | |
axi.2 |
Ref | Expression |
---|---|
mulcomi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | axi.1 | . 2 | |
2 | axi.2 | . 2 | |
3 | mulcom 7756 | . 2 | |
4 | 1, 2, 3 | mp2an 422 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1331 wcel 1480 (class class class)co 5774 cc 7625 cmul 7632 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia3 107 ax-mulcom 7728 |
This theorem is referenced by: mulcomli 7780 8th4div3 8946 numma2c 9234 nummul2c 9238 9t11e99 9318 binom2i 10408 fac3 10485 tanval2ap 11427 sincosq4sgn 12920 |
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