direct-proof

What problem does it solve?

Directly prove statements by assuming a hypothesis and deriving the conclusion through a structured chain of justified steps.

Core Features & Use Cases

• Systematically identify hypothesis and conclusion, and unpack definitions to reveal the logical path.
• Build a chain of reasoning with explicit justification, supporting both constructive and algebraic proofs.
• Example: show that if n is even, then n^2 is even, by introducing witnesses and algebraic manipulation.

Quick Start

Construct a direct proof by assuming the hypothesis and deriving the conclusion through a justified chain of steps.