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Mirrors > Home > ILE Home > Th. List > ax-9 | Unicode version |
Description: Derive ax-9 1531 from ax-i9 1530, the modified version for intuitionistic logic. Although ax-9 1531 does hold intuistionistically, in intuitionistic logic it is weaker than ax-i9 1530. (Contributed by NM, 3-Feb-2015.) |
Ref | Expression |
---|---|
ax-9 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-i9 1530 |
. . 3
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2 | 1 | notnoti 645 |
. 2
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3 | alnex 1499 |
. 2
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4 | 2, 3 | mtbir 671 |
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-5 1447 ax-gen 1449 ax-ie2 1494 ax-i9 1530 |
This theorem depends on definitions: df-bi 117 df-tru 1356 df-fal 1359 |
This theorem is referenced by: equidqe 1532 |
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