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Mirrors > Home > ILE Home > Th. List > necon1bbiddc | Unicode version |
Description: Contrapositive inference for inequality. (Contributed by Jim Kingdon, 16-May-2018.) |
Ref | Expression |
---|---|
necon1bbiddc.1 | DECID |
Ref | Expression |
---|---|
necon1bbiddc | DECID |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | necon1bbiddc.1 | . . 3 DECID | |
2 | df-ne 2246 | . . . 4 | |
3 | 2 | bibi1i 226 | . . 3 |
4 | 1, 3 | syl6ib 159 | . 2 DECID |
5 | 4 | con1biddc 803 | 1 DECID |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wb 103 DECID wdc 775 wceq 1284 wne 2245 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-in1 576 ax-in2 577 ax-io 662 |
This theorem depends on definitions: df-bi 115 df-dc 776 df-ne 2246 |
This theorem is referenced by: necon2bbiddc 2312 |
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