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Mirrors > Home > ILE Home > Th. List > necon1ddc | Unicode version |
Description: Contrapositive law deduction for inequality. (Contributed by Jim Kingdon, 19-May-2018.) |
Ref | Expression |
---|---|
necon1ddc.1 | DECID |
Ref | Expression |
---|---|
necon1ddc | DECID |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ne 2335 | . 2 | |
2 | necon1ddc.1 | . . 3 DECID | |
3 | 2 | necon1bddc 2411 | . 2 DECID |
4 | 1, 3 | syl7bi 164 | 1 DECID |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 DECID wdc 824 wceq 1342 wne 2334 |
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-stab 821 df-dc 825 df-ne 2335 |
This theorem is referenced by: xblss2ps 12971 xblss2 12972 |
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