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Mirrors > Home > ILE Home > Th. List > ad4ant13 | Unicode version |
Description: Deduction adding conjuncts to antecedent. (Contributed by Alan Sare, 17-Oct-2017.) (Proof shortened by Wolf Lammen, 14-Apr-2022.) |
Ref | Expression |
---|---|
ad4ant2.1 |
Ref | Expression |
---|---|
ad4ant13 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ad4ant2.1 | . . 3 | |
2 | 1 | adantr 274 | . 2 |
3 | 2 | adantllr 478 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 |
This theorem is referenced by: ad5ant14 517 ad5ant24 520 fprodmodd 11597 p1modz1 11749 |
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