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Mirrors > Home > ILE Home > Th. List > 3imp3i2an | Unicode version |
Description: An elimination deduction. (Contributed by Alan Sare, 17-Oct-2017.) (Proof shortened by Wolf Lammen, 13-Apr-2022.) |
Ref | Expression |
---|---|
3imp3i2an.1 |
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3imp3i2an.2 |
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3imp3i2an.3 |
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Ref | Expression |
---|---|
3imp3i2an |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3imp3i2an.1 |
. 2
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2 | 3imp3i2an.2 |
. . 3
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3 | 2 | 3adant2 1016 |
. 2
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4 | 3imp3i2an.3 |
. 2
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5 | 1, 3, 4 | syl2anc 411 |
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: pcgcd 12308 |
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