{
  "version": "Lean (version 4.33.1, arm64-apple-darwin24.6.0, commit 819816b2e0a3bf405af45ae5c7af2491d8f5bee6, Release)",
  "checkedAt": "2026-09-12T09:48:08.205Z",
  "sourceSha256": "4bf118c476fec7a3bdbc8a5e997c4eb8bd8bbee84d1981f67be0bd52b906e954",
  "theorems": [
    "pythagoras",
    "circle",
    "derivative",
    "integral",
    "matrix",
    "fractal",
    "fibonacci",
    "primes",
    "kaprekar",
    "collatz",
    "magic",
    "numbers",
    "interference",
    "bloch",
    "lorentz"
  ],
  "method": "Lean elaboration and kernel checking; no sorry, admit or native_decide.",
  "axioms": "'MathAtlas.interference' depends on axioms: [propext, Classical.choice, Quot.sound]\n'MathAtlas.bloch' depends on axioms: [propext, Classical.choice, Quot.sound]\n'MathAtlas.lorentz' depends on axioms: [propext, Classical.choice, Quot.sound]\n'MathAtlas.pythagoras' depends on axioms: [propext, Classical.choice, Quot.sound]\n'MathAtlas.circle' depends on axioms: [propext, Classical.choice, Quot.sound]\n'MathAtlas.derivative' depends on axioms: [propext, Classical.choice, Quot.sound]\n'MathAtlas.integral' depends on axioms: [propext, Classical.choice, Quot.sound]\n'MathAtlas.matrix' depends on axioms: [propext, Classical.choice, Quot.sound]\n'MathAtlas.fractal' depends on axioms: [propext, Classical.choice, Quot.sound]\n'MathAtlas.fibonacci' depends on axioms: [propext, Quot.sound]\n'MathAtlas.primes' does not depend on any axioms\n'MathAtlas.kaprekar' does not depend on any axioms\n'MathAtlas.collatz' does not depend on any axioms\n'MathAtlas.magic' does not depend on any axioms\n'MathAtlas.numbers' does not depend on any axioms"
}