Property Justification
1. Let's first understand the concept of justification in a mathematical or logical context.
2. Justification refers to providing a valid reason or proof for a statement or step taken.
3. It is a property that ensures each assertion is logically supported based on definitions, axioms, or previously established theorems.
4. In proofs, justification helps verify the correctness and soundness of arguments.
5. For example, when solving an equation, each manipulation step must be justified by a legal algebraic operation.
6. Thus, the property of justification guarantees that steps in reasoning or calculation are valid and based on accepted rules or evidence.
7. It is fundamental for building trust in mathematical results and formal arguments.