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Mirrors > Home > ILE Home > Th. List > neneqad | Unicode version |
Description: If it is not the case that two classes are equal, they are unequal. Converse of neneqd 2330. One-way deduction form of df-ne 2310. (Contributed by David Moews, 28-Feb-2017.) |
Ref | Expression |
---|---|
neneqad.1 |
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Ref | Expression |
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neneqad |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | neneqad.1 |
. . 3
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2 | 1 | con2i 617 |
. 2
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3 | 2 | necon2ai 2363 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
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 604 ax-in2 605 |
This theorem depends on definitions: df-bi 116 df-ne 2310 |
This theorem is referenced by: ne0i 3374 nsuceq0g 4348 fidifsnen 6772 nqnq0pi 7270 xrlttri3 9613 |
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