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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 |
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sylan9req.2 |
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Ref | Expression |
---|---|
sylan9req |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sylan9req.1 |
. . 3
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2 | 1 | eqcomd 2183 |
. 2
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3 | sylan9req.2 |
. 2
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4 | 2, 3 | sylan9eq 2230 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-5 1447 ax-gen 1449 ax-4 1510 ax-17 1526 ax-ext 2159 |
This theorem depends on definitions: df-bi 117 df-cleq 2170 |
This theorem is referenced by: fndmu 5312 fodmrnu 5441 funcoeqres 5487 fvunsng 5705 prarloclem5 7477 addlocprlemeq 7510 zdiv 9317 resqrexlemnm 10998 fprodssdc 11569 dvdsmulc 11797 cncongrcoprm 12076 mgmidmo 12670 lgsmodeq 14079 |
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