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Mirrors > Home > ILE Home > Th. List > necon3d | Unicode version |
Description: Contrapositive law deduction for inequality. (Contributed by NM, 10-Jun-2006.) |
Ref | Expression |
---|---|
necon3d.1 |
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Ref | Expression |
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necon3d |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | necon3d.1 |
. . 3
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2 | 1 | necon3ad 2351 |
. 2
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3 | df-ne 2310 |
. 2
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4 | 2, 3 | syl6ibr 161 |
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: necon3i 2357 pm13.18 2390 ssn0 3410 suppssfv 5986 suppssov1 5987 nnmord 6421 findcard2 6791 findcard2s 6792 addn0nid 8160 nn0n0n1ge2 9145 xnegdi 9681 efne0 11421 divgcdcoprmex 11819 |
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