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Mirrors > Home > ILE Home > Th. List > syl5req | Unicode version |
Description: An equality transitivity deduction. (Contributed by NM, 29-Mar-1998.) |
Ref | Expression |
---|---|
syl5req.1 | |
syl5req.2 |
Ref | Expression |
---|---|
syl5req |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syl5req.1 | . . 3 | |
2 | syl5req.2 | . . 3 | |
3 | 1, 2 | syl5eq 2125 | . 2 |
4 | 3 | eqcomd 2086 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1284 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-gen 1378 ax-4 1440 ax-17 1459 ax-ext 2063 |
This theorem depends on definitions: df-bi 115 df-cleq 2074 |
This theorem is referenced by: syl5reqr 2128 opeqsn 4007 relop 4504 funopg 4954 funcnvres 4992 apreap 7687 recextlem1 7741 nn0supp 8340 intqfrac2 9321 |
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