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Mirrors > Home > ILE Home > Th. List > pm2.68dc | Unicode version |
Description: Concluding disjunction from implication for a decidable proposition. Based on theorem *2.68 of [WhiteheadRussell] p. 108. Converse of pm2.62 702 and one half of dfor2dc 832. (Contributed by Jim Kingdon, 27-Mar-2018.) |
Ref | Expression |
---|---|
pm2.68dc |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | jarl 619 |
. 2
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2 | pm2.54dc 828 |
. 2
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3 | 1, 2 | syl5 32 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
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 579 ax-in2 580 ax-io 665 |
This theorem depends on definitions: df-bi 115 df-dc 781 |
This theorem is referenced by: dfor2dc 832 |
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