The process in which lactate is transported across a membrane. Lactate is 2-hydroxypropanoate, CH3-CHOH-COOH; L(+)-lactate is formed by anaerobic glycolysis in animal tissues, and DL-lactate is found in sour milk, molasses and certain fruit juices. [GOC:mcc, ISBN:0198506732]
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C5: Ontology GO: Gene Ontology GO:BP: GO Biological Process