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Mirrors > Home > ILE Home > Th. List > 19.35-1 | Unicode version |
Description: Forward direction of Theorem 19.35 of [Margaris] p. 90. The converse holds for classical logic but not (for all propositions) in intuitionistic logic (Contributed by Mario Carneiro, 2-Feb-2015.) |
Ref | Expression |
---|---|
19.35-1 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 19.29 1600 |
. . 3
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2 | pm3.35 345 |
. . . 4
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3 | 2 | eximi 1580 |
. . 3
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4 | 1, 3 | syl 14 |
. 2
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5 | 4 | expcom 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 105 ax-ia2 106 ax-ia3 107 ax-5 1424 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-4 1488 ax-ial 1515 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: 19.35i 1605 19.25 1606 19.36-1 1652 19.37-1 1653 spimt 1715 sbequi 1812 |
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