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Mirrors > Home > ILE Home > Th. List > syl7bi | Unicode version |
Description: A mixed syllogism inference from a doubly nested implication and a biconditional. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
syl7bi.1 | |
syl7bi.2 |
Ref | Expression |
---|---|
syl7bi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syl7bi.1 | . . 3 | |
2 | 1 | biimpi 118 | . 2 |
3 | syl7bi.2 | . 2 | |
4 | 2, 3 | syl7 68 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 103 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: necon1addc 2321 necon1ddc 2323 rspct 2694 2reuswapdc 2794 nn0lt2 8429 fzofzim 9197 ndvdssub 10330 bj-findis 10774 |
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