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Mirrors > Home > ILE Home > Th. List > sylbb2 | Unicode version |
Description: A mixed syllogism inference from two biconditionals. (Contributed by BJ, 21-Apr-2019.) |
Ref | Expression |
---|---|
sylbb2.1 | |
sylbb2.2 |
Ref | Expression |
---|---|
sylbb2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sylbb2.1 | . 2 | |
2 | sylbb2.2 | . . 3 | |
3 | 2 | biimpri 132 | . 2 |
4 | 1, 3 | sylbi 120 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 |
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 depends on definitions: df-bi 116 |
This theorem is referenced by: inffiexmid 6851 ssfirab 6878 ctssexmid 7093 pw1nel3 7166 fsumsplitsnun 11316 |
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