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Mirrors > Home > ILE Home > Th. List > 3bitr2ri | Unicode version |
Description: A chained inference from transitive law for logical equivalence. (Contributed by NM, 4-Aug-2006.) |
Ref | Expression |
---|---|
3bitr2i.1 | |
3bitr2i.2 | |
3bitr2i.3 |
Ref | Expression |
---|---|
3bitr2ri |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3bitr2i.1 | . . 3 | |
2 | 3bitr2i.2 | . . 3 | |
3 | 1, 2 | bitr4i 186 | . 2 |
4 | 3bitr2i.3 | . 2 | |
5 | 3, 4 | bitr2i 184 | 1 |
Colors of variables: wff set class |
Syntax hints: 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: sbnf2 1961 ssrab 3206 rabn0m 3421 unidif0 4129 relop 4737 dmopab3 4800 issref 4969 fununi 5239 cnvoprab 6182 ssfirab 6879 |
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