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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 2042 |
. 2
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3 | sylan9req.2 |
. 2
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4 | 2, 3 | sylan9eq 2089 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
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 1333 ax-gen 1335 ax-4 1397 ax-17 1416 ax-ext 2019 |
This theorem depends on definitions: df-bi 110 df-cleq 2030 |
This theorem is referenced by: xpid11m 4500 fndmu 4943 fodmrnu 5057 funcoeqres 5100 fvunsng 5300 prarloclem5 6483 addlocprlemeq 6516 zdiv 8104 |
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