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Mirrors > Home > ILE Home > Th. List > con2bidc | Unicode version |
Description: Contraposition. (Contributed by Jim Kingdon, 17-Apr-2018.) |
Ref | Expression |
---|---|
con2bidc | DECID DECID |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | con1bidc 768 | . . . . 5 DECID DECID | |
2 | 1 | imp 115 | . . . 4 DECID DECID |
3 | bicom 128 | . . . 4 | |
4 | bicom 128 | . . . 4 | |
5 | 2, 3, 4 | 3bitr3g 211 | . . 3 DECID DECID |
6 | 5 | bicomd 129 | . 2 DECID DECID |
7 | 6 | ex 108 | 1 DECID DECID |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wa 97 wb 98 DECID wdc 742 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-in1 544 ax-in2 545 ax-io 630 |
This theorem depends on definitions: df-bi 110 df-dc 743 |
This theorem is referenced by: annimdc 845 pm4.55dc 846 nbbndc 1285 |
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