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Mirrors > Home > ILE Home > Th. List > pm2.5dc | Unicode version |
Description: Negating an implication for a decidable antecedent. Based on theorem *2.5 of [WhiteheadRussell] p. 107. (Contributed by Jim Kingdon, 29-Mar-2018.) |
Ref | Expression |
---|---|
pm2.5dc | DECID |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simplimdc 790 | . . . 4 DECID | |
2 | 1 | imp 122 | . . 3 DECID |
3 | 2 | pm2.24d 584 | . 2 DECID |
4 | 3 | ex 113 | 1 DECID |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wa 102 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-in1 576 ax-in2 577 ax-io 662 |
This theorem depends on definitions: df-bi 115 df-dc 776 |
This theorem is referenced by: pm5.11dc 848 |
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