There should be a minute order in the file which accurately states that the demurrer was sustained without leave to amend. However, normally, after prevailing on a demurrer where it is without leave to amend, the prevailing party will submit a proposed Judgment. You may wish to call the clerk in the department where the demurrer was sustained to determine precisely how she wants to handle it, but normally the prevailing party would go ahead and file a proposed Judgment. Then, you will have a judgment for dismissal awarding you costs.
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I agree with Mr. Mann. Normally, the moving party prepares the order/judgment for the judge's signature. You want to do that because until their is a judgment of dismissal the time to appeal does not start to run.
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