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Mirrors > Home > ILE Home > Th. List > pm4.81dc | Unicode version |
Description: Theorem *4.81 of [WhiteheadRussell] p. 122, for decidable propositions. This one needs a decidability condition, but compare with pm4.8 655 which holds for all propositions. (Contributed by Jim Kingdon, 4-Jul-2018.) |
Ref | Expression |
---|---|
pm4.81dc | DECID |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm2.18dc 783 | . 2 DECID | |
2 | pm2.24 583 | . 2 | |
3 | 1, 2 | impbid1 140 | 1 DECID |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wb 103 DECID wdc 775 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-in2 577 ax-io 662 |
This theorem depends on definitions: df-bi 115 df-dc 776 |
This theorem is referenced by: (None) |
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