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Mirrors > Home > ILE Home > Th. List > 19.31r | Unicode version |
Description: One direction of Theorem 19.31 of [Margaris] p. 90. The converse holds in classical logic, but not intuitionistic logic. (Contributed by Jim Kingdon, 28-Jul-2018.) |
Ref | Expression |
---|---|
19.31r.1 |
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Ref | Expression |
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19.31r |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 19.31r.1 |
. . 3
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2 | 1 | 19.32r 1680 |
. 2
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3 | orcom 728 |
. 2
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4 | orcom 728 |
. . 3
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5 | 4 | albii 1470 |
. 2
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6 | 2, 3, 5 | 3imtr4i 201 |
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-io 709 ax-5 1447 ax-gen 1449 ax-4 1510 |
This theorem depends on definitions: df-bi 117 df-nf 1461 |
This theorem is referenced by: (None) |
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