No, the term "microwave safe" does not necessarily imply that an item is also "dishwasher safe." The two terms refer to different aspects of the suitability of an item for specific appliances.
When a product is labeled as "microwave safe," it means that the item has been tested and deemed suitable for use in a microwave oven. It indicates that the materials used in the item's construction can withstand the heat and energy produced by microwave radiation without melting, warping, or releasing harmful substances into the food.
On the other hand, "dishwasher safe" refers to an item's ability to withstand the high heat, water pressure, and detergents typically used in a dishwasher without suffering damage or degradation. Dishwasher-safe items are designed to withstand the mechanical action of the dishwasher, such as the spraying of water and the agitation caused by the dishwasher's cycles.
Although some items may be both microwave and dishwasher safe, it is not a guarantee. Each label is specific to the intended use and the properties tested for that particular appliance. It's essential to follow the manufacturer's instructions and guidelines for the proper care and usage of any item to ensure its longevity and safety.