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Mirrors > Home > ILE Home > Th. List > necon1bbiidc | Unicode version |
Description: Contrapositive inference for inequality. (Contributed by Jim Kingdon, 16-May-2018.) |
Ref | Expression |
---|---|
necon1bbiidc.1 | DECID |
Ref | Expression |
---|---|
necon1bbiidc | DECID |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ne 2328 | . . 3 | |
2 | necon1bbiidc.1 | . . 3 DECID | |
3 | 1, 2 | bitr3id 193 | . 2 DECID |
4 | 3 | con1biidc 863 | 1 DECID |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wb 104 DECID wdc 820 wceq 1335 wne 2327 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-in1 604 ax-in2 605 ax-io 699 |
This theorem depends on definitions: df-bi 116 df-dc 821 df-ne 2328 |
This theorem is referenced by: necon2bbiidc 2392 |
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