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Mirrors > Home > ILE Home > Th. List > anabsi7 | Unicode version |
Description: Absorption of antecedent into conjunction. (Contributed by NM, 20-Jul-1996.) (Proof shortened by Wolf Lammen, 18-Nov-2013.) |
Ref | Expression |
---|---|
anabsi7.1 |
Ref | Expression |
---|---|
anabsi7 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | anabsi7.1 | . . 3 | |
2 | 1 | anabsi6 544 | . 2 |
3 | 2 | ancoms 264 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 |
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: syl2an23an 1230 nelrdva 2797 elunii 3606 ordelord 4136 onsucuni2 4307 funfveu 5208 fvelrn 5319 phplem3g 6342 prdisj 6682 gcdmultiplez 10410 dvdssq 10420 |
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