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Mirrors > Home > ILE Home > Th. List > necomi | Unicode version |
Description: Inference from commutative law for inequality. (Contributed by NM, 17-Oct-2012.) |
Ref | Expression |
---|---|
necomi.1 |
Ref | Expression |
---|---|
necomi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | necomi.1 | . 2 | |
2 | necom 2369 | . 2 | |
3 | 1, 2 | mpbi 144 | 1 |
Colors of variables: wff set class |
Syntax hints: wne 2285 |
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 588 ax-in2 589 ax-5 1408 ax-gen 1410 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-cleq 2110 df-ne 2286 |
This theorem is referenced by: 0nep0 4059 xp01disj 6298 xp01disjl 6299 djulclb 6908 djuinr 6916 pnfnemnf 7788 mnfnepnf 7789 ltneii 7828 1ne0 8756 0ne2 8893 fzprval 9830 0tonninf 10180 1tonninf 10181 |
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