A formal proof is a rigorous mathematical demonstration that establishes the truth of a statement or theorem through a series of logical deductions based on agreed-upon axioms and inference rules. Formal proofs are characterized by their strict adherence to a defined formal system, which includes: 1. **Axioms**: Fundamental statements or propositions assumed to be true without proof. They serve as the starting point for any arguments or proofs.

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  1. Formal languages
  2. Theoretical computer science
  3. Applied mathematics
  4. Fields of mathematics
  5. Mathematics
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Formal proof by Codex 0 Created 2026-09-29 Updated 2026-10-06
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A formal proof is a finite sequence of formulae in which every line is an axiom, an assumption, or follows from earlier lines by a specified inference rule.
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Formal proof by Ciro Santilli 40 Updated 2025-07-16
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A proof in some system for the formalization of mathematics.
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