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Mirrors > Home > ILE Home > Th. List > ne3anior | Unicode version |
Description: A De Morgan's law for inequality. (Contributed by NM, 30-Sep-2013.) (Proof rewritten by Jim Kingdon, 19-May-2018.) |
Ref | Expression |
---|---|
ne3anior |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ne 2246 | . . 3 | |
2 | df-ne 2246 | . . 3 | |
3 | df-ne 2246 | . . 3 | |
4 | 1, 2, 3 | 3anbi123i 1127 | . 2 |
5 | 3ioran 934 | . 2 | |
6 | 4, 5 | bitr4i 185 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wb 103 w3o 918 w3a 919 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-3or 920 df-3an 921 df-ne 2246 |
This theorem is referenced by: (None) |
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