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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 2086 | . 2 |
3 | sylan9req.2 | . 2 | |
4 | 2, 3 | sylan9eq 2133 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 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: xpid11m 4575 fndmu 5020 fodmrnu 5134 funcoeqres 5177 fvunsng 5378 prarloclem5 6690 addlocprlemeq 6723 zdiv 8435 resqrexlemnm 9904 dvdsmulc 10223 cncongrcoprm 10488 |
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