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Mirrors > Home > ILE Home > Th. List > anabsi5 | Unicode version |
Description: Absorption of antecedent into conjunction. (Contributed by NM, 11-Jun-1995.) (Proof shortened by Wolf Lammen, 18-Nov-2013.) |
Ref | Expression |
---|---|
anabsi5.1 |
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Ref | Expression |
---|---|
anabsi5 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | anabsi5.1 |
. . 3
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2 | 1 | imp 122 |
. 2
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3 | 2 | anabss5 545 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: anabsi6 547 anabsi8 549 3anidm12 1231 equsexd 1664 rspce 2717 phplem3g 6562 ltexprlemrl 7159 ltexprlemru 7161 dvdssq 11285 |
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