Verified75% confidenceFactExact time
Lean 4 is based on dependent type theory at its core, and formally proving a theorem is equivalent to writing a type-correct program.
3
Sources
75%
Confidence
Long-term
Relevance
7/16/2026
First Seen
Sources
Related Claims
UnverifiedLean's underlying foundation is based on dependent type theory, specifically employing a variant of the Calculus of Constructions.79% similarUnverifiedIn Lean, logical connectives such as ∧, ->, and ¬ correspond to product types, function types, and functions to the empty type, respectively.75% similarUnverifiedIn Lean proofs, unfold is used to expand function definitions, split_ifs is used to split the branches of conditional statements, and omega is used to solve natural-number arithmetic obligations.73% similarUnverifiedLeanGraphSearch is a graph retrieval method for Lean 4 formal theorem proving that, by constructing a graph from Mathlib's forward dependencies, first performs semantic matching to locate anchor points, then uses a graph ranking algorithm to propagate relevance along dependency edges, and finally re-ranks the candidate set.71% similarVerifiedLean and Coq are interactive theorem provers (ITPs) that require users to translate mathematical proofs into machine-verifiable formal languages, where every step of reasoning must conform to strict type-theoretic rules.70% similar
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