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Mirrors > Home > ILE Home > Th. List > con1biimdc | Unicode version |
Description: Contraposition. (Contributed by Jim Kingdon, 4-Apr-2018.) |
Ref | Expression |
---|---|
con1biimdc | DECID |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | biimp 117 | . . 3 | |
2 | con1dc 842 | . . 3 DECID | |
3 | 1, 2 | syl5 32 | . 2 DECID |
4 | biimpr 129 | . . . 4 | |
5 | 4 | con2d 614 | . . 3 |
6 | 5 | a1i 9 | . 2 DECID |
7 | 3, 6 | impbidd 126 | 1 DECID |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wb 104 DECID wdc 820 |
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 ax-io 699 |
This theorem depends on definitions: df-bi 116 df-stab 817 df-dc 821 |
This theorem is referenced by: con1bidc 860 con1biddc 862 |
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