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Mirrors > Home > QLE Home > Th. List > leao | Unicode version |
Description: Relation between two methods of expressing "less than or equal to". |
Ref | Expression |
---|---|
leao.1 |
Ref | Expression |
---|---|
leao |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-a2 31 | . . 3 | |
2 | leao.1 | . . . . . 6 | |
3 | 2 | ax-r1 35 | . . . . 5 |
4 | ancom 74 | . . . . . 6 | |
5 | 4 | ax-r1 35 | . . . . 5 |
6 | 3, 5 | ax-r2 36 | . . . 4 |
7 | 6 | lor 70 | . . 3 |
8 | 1, 7 | ax-r2 36 | . 2 |
9 | orabs 120 | . 2 | |
10 | 8, 9 | ax-r2 36 | 1 |
Colors of variables: term |
Syntax hints: wb 1 wo 6 wa 7 |
This theorem was proved from axioms: 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 |
This theorem is referenced by: df2le1 135 |
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