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Mirrors > Home > ILE Home > Th. List > pm5.24dc | Unicode version |
Description: Theorem *5.24 of [WhiteheadRussell] p. 124, but for decidable propositions. (Contributed by Jim Kingdon, 5-May-2018.) |
Ref | Expression |
---|---|
pm5.24dc |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfbi3dc 1397 |
. . . . 5
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2 | 1 | imp 124 |
. . . 4
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3 | 2 | notbid 667 |
. . 3
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4 | xordc 1392 |
. . . 4
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5 | 4 | imp 124 |
. . 3
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6 | 3, 5 | bitr3d 190 |
. 2
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7 | 6 | ex 115 |
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 106 ax-ia2 107 ax-ia3 108 ax-in1 614 ax-in2 615 ax-io 709 |
This theorem depends on definitions: df-bi 117 df-stab 831 df-dc 835 df-xor 1376 |
This theorem is referenced by: (None) |
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