👉 A semirigorously defined mathematical concept is one that can be rigorously proven or established, without any assumptions or limitations. This means that it can be proven true for all values of its parameters and conditions. For example, the concept of a semirigorously defined function is often used in mathematics to express the existence of certain properties (such as continuity) under certain conditions (such as differentiability). Semirigorously defined concepts are important because they help mathematicians understand and manipulate complex