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Mirrors > Home > QLE Home > Th. List > distid | Unicode version |
Description: Distributive law for identity. |
Ref | Expression |
---|---|
distid |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | lea 160 | . . . 4 | |
2 | mlaconjo 886 | . . . 4 | |
3 | 1, 2 | ler2an 173 | . . 3 |
4 | bicom 96 | . . . . . 6 | |
5 | ax-a2 31 | . . . . . 6 | |
6 | 4, 5 | 2an 79 | . . . . 5 |
7 | mlaconjo 886 | . . . . 5 | |
8 | 6, 7 | bltr 138 | . . . 4 |
9 | 1, 8 | ler2an 173 | . . 3 |
10 | 3, 9 | ler2or 172 | . 2 |
11 | ledi 174 | . 2 | |
12 | 10, 11 | lebi 145 | 1 |
Colors of variables: term |
Syntax hints: wb 1 tb 5 wo 6 wa 7 |
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 |
This theorem depends on definitions: df-b 39 df-a 40 df-t 41 df-f 42 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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