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Mirrors > Home > QLE Home > Th. List > lem3.3.5 | Unicode version |
Description: Equation 3.5 of [PavMeg1999] p. 9. (Contributed by Roy F. Longton, 3-Jul-05.) |
Ref | Expression |
---|---|
lem3.3.5.1 |
Ref | Expression |
---|---|
lem3.3.5 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-b1 1048 | . . . . . 6 | |
2 | lea 160 | . . . . . 6 | |
3 | 1, 2 | bltr 138 | . . . . 5 |
4 | df-i1 44 | . . . . 5 | |
5 | 3, 4 | lbtr 139 | . . . 4 |
6 | leo 158 | . . . . . 6 | |
7 | 6 | lelan 167 | . . . . 5 |
8 | 7 | lelor 166 | . . . 4 |
9 | 5, 8 | letr 137 | . . 3 |
10 | lem3.3.5.1 | . . . . 5 | |
11 | lem3.3.3 1052 | . . . . 5 | |
12 | 10, 11 | lem3.3.2 1046 | . . . 4 |
13 | 12 | ax-r1 35 | . . 3 |
14 | df-i1 44 | . . 3 | |
15 | 9, 13, 14 | le3tr1 140 | . 2 |
16 | 15 | lem3.3.5lem 1054 | 1 |
Colors of variables: term |
Syntax hints: wb 1 wn 4 wo 6 wa 7 wt 8 wi1 12 wid5 22 wb1 24 |
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-i0 43 df-i1 44 df-le1 130 df-le2 131 df-id5 1047 df-b1 1048 |
This theorem is referenced by: lem3.4.5 1078 |
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