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Mirrors > Home > ILE Home > Th. List > i19.24 | Unicode version |
Description: Theorem 19.24 of [Margaris] p. 90, with an additional hypothesis. The hypothesis is the converse of 19.35-1 1604, and is a theorem of classical logic, but in intuitionistic logic it will only be provable for some propositions. (Contributed by Jim Kingdon, 22-Jul-2018.) |
Ref | Expression |
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i19.24.1 |
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Ref | Expression |
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i19.24 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 19.2 1618 |
. . 3
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2 | 1 | imim2i 12 |
. 2
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3 | i19.24.1 |
. 2
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4 | 2, 3 | syl 14 |
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-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-4 1488 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: (None) |
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