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Mirrors > Home > ILE Home > Th. List > 3anandis | Unicode version |
Description: Inference that undistributes a triple conjunction in the antecedent. (Contributed by NM, 18-Apr-2007.) |
Ref | Expression |
---|---|
3anandis.1 |
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Ref | Expression |
---|---|
3anandis |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simpl 109 |
. 2
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2 | simpr1 1003 |
. 2
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3 | simpr2 1004 |
. 2
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4 | simpr3 1005 |
. 2
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5 | 3anandis.1 |
. 2
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6 | 1, 2, 1, 3, 1, 4, 5 | syl222anc 1254 |
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 |
This theorem depends on definitions: df-bi 117 df-3an 980 |
This theorem is referenced by: (None) |
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