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Mirrors > Home > QLE Home > Th. List > wcom2an | Unicode version |
Description: Th. 4.2 Beran p. 49. |
Ref | Expression |
---|---|
wfh.1 | |
wfh.2 |
Ref | Expression |
---|---|
wcom2an |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | wfh.1 | . . . . 5 | |
2 | 1 | wcomcom4 417 | . . . 4 |
3 | wfh.2 | . . . . 5 | |
4 | 3 | wcomcom4 417 | . . . 4 |
5 | 2, 4 | wcom2or 427 | . . 3 |
6 | df-a 40 | . . . . . 6 | |
7 | 6 | con2 67 | . . . . 5 |
8 | 7 | ax-r1 35 | . . . 4 |
9 | 8 | bi1 118 | . . 3 |
10 | 5, 9 | wcbtr 411 | . 2 |
11 | 10 | wcomcom5 420 | 1 |
Colors of variables: term |
Syntax hints: wb 1 wn 4 wo 6 wa 7 wt 8 wcmtr 29 |
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-wom 361 |
This theorem depends on definitions: df-b 39 df-a 40 df-t 41 df-f 42 df-i1 44 df-i2 45 df-le 129 df-le1 130 df-le2 131 df-cmtr 134 |
This theorem is referenced by: ska4 433 |
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