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Mirrors > Home > QLE Home > Th. List > oacom2 | Unicode version |
Description: Commutation law requiring OA. |
Ref | Expression |
---|---|
oacom2.1 |
Ref | Expression |
---|---|
oacom2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | oacom2.1 | . . . 4 | |
2 | lear 161 | . . . 4 | |
3 | 1, 2 | letr 137 | . . 3 |
4 | 3 | lecom 180 | . 2 |
5 | lea 160 | . . . 4 | |
6 | lea 160 | . . . . 5 | |
7 | 1, 6 | letr 137 | . . . 4 |
8 | 5, 7 | letr 137 | . . 3 |
9 | 8 | lecom 180 | . 2 |
10 | 4, 9 | oacom 1011 | 1 |
Colors of variables: term |
Syntax hints: wle 2 wc 3 wo 6 wa 7 wi0 11 wi2 13 |
This theorem was proved from axioms: ax-a1 30 ax-a2 31 ax-a3 32 ax-a4 33 ax-a5 34 ax-r1 35 ax-r2 36 ax-r4 37 ax-r5 38 ax-r3 439 ax-3oa 998 |
This theorem depends on definitions: df-b 39 df-a 40 df-t 41 df-f 42 df-i0 43 df-i1 44 df-i2 45 df-le1 130 df-le2 131 df-c1 132 df-c2 133 |
This theorem is referenced by: (None) |
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