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Mirrors > Home > ILE Home > Th. List > neanior | Unicode version |
Description: A De Morgan's law for inequality. (Contributed by NM, 18-May-2007.) |
Ref | Expression |
---|---|
neanior |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ne 2309 | . . 3 | |
2 | df-ne 2309 | . . 3 | |
3 | 1, 2 | anbi12i 455 | . 2 |
4 | pm4.56 769 | . 2 | |
5 | 3, 4 | bitri 183 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wa 103 wb 104 wo 697 wceq 1331 wne 2308 |
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 603 ax-in2 604 ax-io 698 |
This theorem depends on definitions: df-bi 116 df-ne 2309 |
This theorem is referenced by: nelpri 3551 nelprd 3553 0nelop 4170 lcmgcd 11759 lcmdvds 11760 |
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