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Mirrors > Home > ILE Home > Th. List > ccased | Unicode version |
Description: Deduction for combining cases. (Contributed by NM, 9-May-2004.) |
Ref | Expression |
---|---|
ccased.1 |
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ccased.2 |
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ccased.3 |
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ccased.4 |
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Ref | Expression |
---|---|
ccased |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ccased.1 |
. . . 4
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2 | 1 | com12 30 |
. . 3
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3 | ccased.2 |
. . . 4
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4 | 3 | com12 30 |
. . 3
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5 | ccased.3 |
. . . 4
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6 | 5 | com12 30 |
. . 3
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7 | ccased.4 |
. . . 4
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8 | 7 | com12 30 |
. . 3
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9 | 2, 4, 6, 8 | ccase 964 |
. 2
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10 | 9 | com12 30 |
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 |
This theorem depends on definitions: df-bi 117 |
This theorem is referenced by: zmulcl 9282 gcdabs 11959 lcmabs 12046 mulgass 12895 lgsdir2lem5 14066 |
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