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Mirrors > Home > QLE Home > Th. List > lem3.3.7i1e1 | Unicode version |
Description: Equation 3.7 of [PavMeg1999] p. 9. The variable i in the paper is set to 1, and this is the first part of the equation. (Contributed by Roy F. Longton, 3-Jul-05.) |
Ref | Expression |
---|---|
lem3.3.7i1e1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | or1r 105 | . . . . . 6 | |
2 | 1 | ax-r1 35 | . . . . 5 |
3 | 2 | ran 78 | . . . 4 |
4 | an1r 107 | . . . 4 | |
5 | df-t 41 | . . . . . 6 | |
6 | 5 | ax-r5 38 | . . . . 5 |
7 | 6 | ran 78 | . . . 4 |
8 | 3, 4, 7 | 3tr2 64 | . . 3 |
9 | ax-a3 32 | . . . 4 | |
10 | 9 | ran 78 | . . 3 |
11 | oran3 93 | . . . . 5 | |
12 | 11 | lor 70 | . . . 4 |
13 | 12 | ran 78 | . . 3 |
14 | 8, 10, 13 | 3tr 65 | . 2 |
15 | df-i1 44 | . 2 | |
16 | df-id1 50 | . 2 | |
17 | 14, 15, 16 | 3tr1 63 | 1 |
Colors of variables: term |
Syntax hints: wb 1 wn 4 wo 6 wa 7 wt 8 wi1 12 wid1 18 |
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 |
This theorem depends on definitions: df-a 40 df-t 41 df-f 42 df-i1 44 df-id1 50 |
This theorem is referenced by: (None) |
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