: Users can select a fundamental axiom (like the Peano Axioms ) and see it highlighted across all theorems in the course that rely on it. This reinforces the "genetic" character of mathematics where simple ideas build complex structures.
: When a user views a complex theorem (e.g., the Fundamental Theorem of Calculus), they can toggle a "Logic Map" that generates a directed acyclic graph. This graph visually connects the theorem to every lemma, proposition, and axiom required for its proof. ELEMENTS OF MATHEMATICS
: Clicking a node in the graph instantly opens a side-by-side view of that specific component's proof. This allows students to "drill down" into the foundations without losing the context of the larger argument. : Users can select a fundamental axiom (like
: For each definition or theorem, the tool would provide an interactive area to test "boundary conditions." If a student wonders why a specific condition in a definition is necessary, they can modify it and see which dependent "logical nodes" in the graph break. Elements of Mathematics This graph visually connects the theorem to every