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Mirrors > Home > QLE Home > Th. List > 1i1 | Unicode version |
Description: Antecedent of 1 on Sasaki conditional. |
Ref | Expression |
---|---|
1i1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-i1 44 | . 2 | |
2 | df-f 42 | . . . . 5 | |
3 | 2 | ax-r1 35 | . . . 4 |
4 | ancom 74 | . . . . 5 | |
5 | an1 106 | . . . . 5 | |
6 | 4, 5 | ax-r2 36 | . . . 4 |
7 | 3, 6 | 2or 72 | . . 3 |
8 | ax-a2 31 | . . . 4 | |
9 | or0 102 | . . . 4 | |
10 | 8, 9 | ax-r2 36 | . . 3 |
11 | 7, 10 | ax-r2 36 | . 2 |
12 | 1, 11 | ax-r2 36 | 1 |
Colors of variables: term |
Syntax hints: wb 1 wn 4 wo 6 wa 7 wt 8 wf 9 wi1 12 |
This theorem was proved from axioms: ax-a1 30 ax-a2 31 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 |
This theorem is referenced by: oa3-6lem 980 |
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