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Mirrors > Home > ILE Home > Th. List > nesym | Unicode version |
Description: Characterization of inequality in terms of reversed equality (see bicom 139). (Contributed by BJ, 7-Jul-2018.) |
Ref | Expression |
---|---|
nesym |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqcom 2141 | . 2 | |
2 | 1 | necon3abii 2344 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wb 104 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-5 1423 ax-gen 1425 ax-ext 2121 |
This theorem depends on definitions: df-bi 116 df-cleq 2132 df-ne 2309 |
This theorem is referenced by: nesymi 2354 nesymir 2355 0neqopab 5816 fzdifsuc 9868 isprm3 11806 |
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