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Mirrors > Home > ILE Home > Th. List > necon4bbiddc | Unicode version |
Description: Contrapositive law deduction for inequality. (Contributed by Jim Kingdon, 19-May-2018.) |
Ref | Expression |
---|---|
necon4bbiddc.1 | DECID DECID |
Ref | Expression |
---|---|
necon4bbiddc | DECID DECID |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | necon4bbiddc.1 | . . . . . 6 DECID DECID | |
2 | bicom 128 | . . . . . 6 | |
3 | 1, 2 | syl8ib 155 | . . . . 5 DECID DECID |
4 | 3 | com23 72 | . . . 4 DECID DECID |
5 | 4 | necon4abiddc 2278 | . . 3 DECID DECID |
6 | 5 | com23 72 | . 2 DECID DECID |
7 | bicom 128 | . 2 | |
8 | 6, 7 | syl8ib 155 | 1 DECID DECID |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wb 98 DECID wdc 742 wceq 1243 wne 2204 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-in2 545 ax-io 630 |
This theorem depends on definitions: df-bi 110 df-dc 743 df-ne 2206 |
This theorem is referenced by: (None) |
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