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Mirrors > Home > ILE Home > Th. List > a1dd | Unicode version |
Description: Deduction introducing a nested embedded antecedent. (Contributed by NM, 17-Dec-2004.) (Proof shortened by O'Cat, 15-Jan-2008.) |
Ref | Expression |
---|---|
a1dd.1 |
Ref | Expression |
---|---|
a1dd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | a1dd.1 | . 2 | |
2 | ax-1 6 | . 2 | |
3 | 1, 2 | syl6 33 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 |
This theorem is referenced by: exmidsssnc 4096 nnsub 8727 difelfzle 9879 facdiv 10452 facwordi 10454 faclbnd 10455 dvdsabseq 11472 divgcdcoprm0 11709 exprmfct 11745 prmfac1 11757 bj-inf2vnlem2 13096 |
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