Hot beverage container lid-insert constructions

A lid construction attachable to a select beverage container for preventing inadvertent removal of the lid construction from the select beverage container, the lid construction comprising:

• an inner container wall-engaging, lid-to-wall locking structure, the lid construction being outfittable upon the select beverage container such that the inner container wall-engaging, lid-to-wall locking structure engages an inner container wall surfacing of the select beverage container for preventing inadvertent removal of the lid construction from the select beverage container, the inner container wall surfacing comprising a structure-receiving notch and being piercable, the inner container wall-engaging, lid-to-wall locking structure being receivable in the structure-receiving notch and piercing the inner container wall surfacing when the lid construction is outfitted upon the select beverage container.

A lid insert construction attachable to a beverage container lid for preventing inadvertent removal of the beverage container lid from a beverage container, the lid insert construction comprising:

• an inner container wall-engaging, lid-to-wall locking structure, the lid construction being outfittable upon a beverage container such that the inner container wall-engaging, lid-to-wall locking structure engages an inner container wall surfacing of the beverage container for preventing inadvertent removal of the beverage container lid from the beverage container.

A lid construction attachable to a select beverage container for preventing inadvertent removal of the lid construction from the select beverage container, the lid construction comprising:

• an inner container wall-engaging, lid-to-wall locking structure, the lid construction being outfittable upon the select beverage container such that the inner container wall-engaging, lid-to-wall locking structure pierces a piercable inner container wall surfacing of the select beverage container for preventing inadvertent removal of the lid construction from the select beverage container.