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Mirrors > Home > ILE Home > Th. List > pm5.14dc | Unicode version |
Description: A decidable proposition is implied by or implies other propositions. Based on theorem *5.14 of [WhiteheadRussell] p. 123. (Contributed by Jim Kingdon, 30-Mar-2018.) |
Ref | Expression |
---|---|
pm5.14dc |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-dc 821 |
. 2
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2 | ax-1 6 |
. . 3
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3 | ax-in2 605 |
. . 3
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4 | 2, 3 | orim12i 749 |
. 2
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5 | 1, 4 | sylbi 120 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
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-in2 605 ax-io 699 |
This theorem depends on definitions: df-bi 116 df-dc 821 |
This theorem is referenced by: pm5.13dc 898 |
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