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Mirrors > Home > ILE Home > Th. List > Mathboxes > bj-dcst | Unicode version |
Description: Stability of a proposition is decidable if and only if that proposition is stable. (Contributed by BJ, 24-Nov-2023.) |
Ref | Expression |
---|---|
bj-dcst | DECID STAB STAB |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bj-nnst 13778 | . 2 STAB | |
2 | bj-nnbidc 13792 | . 2 STAB DECID STAB STAB | |
3 | 1, 2 | ax-mp 5 | 1 DECID STAB STAB |
Colors of variables: wff set class |
Syntax hints: wn 3 wb 104 STAB wstab 825 DECID wdc 829 |
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 609 ax-in2 610 ax-io 704 |
This theorem depends on definitions: df-bi 116 df-stab 826 df-dc 830 |
This theorem is referenced by: (None) |
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