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Mirrors > Home > MPE Home > Th. List > necon1bbid | Structured version Visualization version Unicode version |
Description: Contrapositive inference for inequality. (Contributed by NM, 31-Jan-2008.) |
Ref | Expression |
---|---|
necon1bbid.1 |
Ref | Expression |
---|---|
necon1bbid |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ne 2795 | . . 3 | |
2 | necon1bbid.1 | . . 3 | |
3 | 1, 2 | syl5bbr 274 | . 2 |
4 | 3 | con1bid 345 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wb 196 wceq 1483 wne 2794 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 197 df-ne 2795 |
This theorem is referenced by: necon4abid 2834 blssioo 22598 metdstri 22654 rrxmvallem 23187 dchrpt 24992 lgsquad3 25112 eupth2lem2 27079 lkrpssN 34450 dochshpsat 36743 |
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