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Mirrors > Home > QLE Home > Th. List > li3 | Unicode version |
Description: Introduce Kalmbach implication to the left. |
Ref | Expression |
---|---|
li3.1 |
Ref | Expression |
---|---|
li3 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | li3.1 | . . . . 5 | |
2 | 1 | lan 77 | . . . 4 |
3 | 1 | ax-r4 37 | . . . . 5 |
4 | 3 | lan 77 | . . . 4 |
5 | 2, 4 | 2or 72 | . . 3 |
6 | 1 | lor 70 | . . . 4 |
7 | 6 | lan 77 | . . 3 |
8 | 5, 7 | 2or 72 | . 2 |
9 | df-i3 46 | . 2 | |
10 | df-i3 46 | . 2 | |
11 | 8, 9, 10 | 3tr1 63 | 1 |
Colors of variables: term |
Syntax hints: wb 1 wn 4 wo 6 wa 7 wi3 14 |
This theorem was proved from axioms: ax-a2 31 ax-r1 35 ax-r2 36 ax-r4 37 ax-r5 38 |
This theorem depends on definitions: df-a 40 df-i3 46 |
This theorem is referenced by: 2i3 254 ud3lem0a 260 bina1 282 i31 520 i3aa 521 i3btr 528 i3li3 539 i3th2 544 i3th3 545 i3th4 546 |
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