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Mirrors > Home > ILE Home > Th. List > 3imtr3g | Unicode version |
Description: More general version of 3imtr3i 199. Useful for converting definitions in a formula. (Contributed by NM, 20-May-1996.) (Proof shortened by Wolf Lammen, 20-Dec-2013.) |
Ref | Expression |
---|---|
3imtr3g.1 | |
3imtr3g.2 | |
3imtr3g.3 |
Ref | Expression |
---|---|
3imtr3g |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3imtr3g.2 | . . 3 | |
2 | 3imtr3g.1 | . . 3 | |
3 | 1, 2 | syl5bir 152 | . 2 |
4 | 3imtr3g.3 | . 2 | |
5 | 3, 4 | syl6ib 160 | 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: dvelimfALT2 1804 dvelimf 2002 dveeq1 2006 sspwb 4188 ssopab2b 4248 wetrep 4332 imadif 5262 ssoprab2b 5890 iinerm 6564 uzind 9293 bezoutlembi 11923 |
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