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Mirrors > Home > ILE Home > Th. List > sylan9req | Unicode version |
Description: An equality transitivity deduction. (Contributed by NM, 23-Jun-2007.) |
Ref | Expression |
---|---|
sylan9req.1 | |
sylan9req.2 |
Ref | Expression |
---|---|
sylan9req |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sylan9req.1 | . . 3 | |
2 | 1 | eqcomd 2045 | . 2 |
3 | sylan9req.2 | . 2 | |
4 | 2, 3 | sylan9eq 2092 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wceq 1243 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-5 1336 ax-gen 1338 ax-4 1400 ax-17 1419 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-cleq 2033 |
This theorem is referenced by: xpid11m 4557 fndmu 5000 fodmrnu 5114 funcoeqres 5157 fvunsng 5357 prarloclem5 6598 addlocprlemeq 6631 zdiv 8328 resqrexlemnm 9616 |
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