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Mirrors > Home > ILE Home > Th. List > necon2bi | Unicode version |
Description: Contrapositive inference for inequality. (Contributed by NM, 1-Apr-2007.) |
Ref | Expression |
---|---|
necon2bi.1 |
Ref | Expression |
---|---|
necon2bi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | necon2bi.1 | . . 3 | |
2 | 1 | neneqd 2329 | . 2 |
3 | 2 | con2i 616 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wceq 1331 wne 2308 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-in1 603 ax-in2 604 |
This theorem depends on definitions: df-bi 116 df-ne 2309 |
This theorem is referenced by: minel 3424 rzal 3460 difsnb 3663 fin0 6779 0npi 7121 0nsr 7557 renfdisj 7824 nltpnft 9597 ngtmnft 9600 xrrebnd 9602 hashnncl 10542 rennim 10774 |
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