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Mirrors > Home > ILE Home > Th. List > syl5reqr | Unicode version |
Description: An equality transitivity deduction. (Contributed by NM, 29-Mar-1998.) |
Ref | Expression |
---|---|
syl5reqr.1 | |
syl5reqr.2 |
Ref | Expression |
---|---|
syl5reqr |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syl5reqr.1 | . . 3 | |
2 | 1 | eqcomi 2085 | . 2 |
3 | syl5reqr.2 | . 2 | |
4 | 2, 3 | syl5req 2126 | 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: bm2.5ii 4240 resdmdfsn 4671 f1o00 5181 fmpt 5340 fmptsn 5373 resfunexg 5403 pm54.43 6459 prarloclem5 6690 recexprlem1ssl 6823 recexprlem1ssu 6824 iooval2 8938 resqrexlemover 9896 |
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