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Mirrors > Home > ILE Home > Th. List > spimth | Unicode version |
Description: Closed theorem form of spim 1749. (Contributed by NM, 15-Jan-2008.) (New usage is discouraged.) |
Ref | Expression |
---|---|
spimth |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | imim2 55 |
. . . . . 6
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2 | 1 | imim2d 54 |
. . . . 5
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3 | 2 | imp 124 |
. . . 4
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4 | 3 | com23 78 |
. . 3
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5 | 4 | al2imi 1469 |
. 2
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6 | ax9o 1709 |
. 2
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7 | 5, 6 | syl6 33 |
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-5 1458 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-4 1521 ax-i9 1541 ax-ial 1545 |
This theorem depends on definitions: df-bi 117 |
This theorem is referenced by: equveli 1770 |
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