. . . . "Machine-verified Lean 4 formalization of the Pythagorean theorem in Mathlib, stated in if-and-only-if angle-at-point form: dist p₁ p₃ * dist p₁ p₃ = dist p₁ p₂ * dist p₁ p₂ + dist p₃ p₂ * dist p₃ p₂ ↔ angle p₁ p₂ p₃ = π/2. Proved for points of a metric space that is a torsor over a real inner product space (Euclidean affine space)."@en . . . . "EuclideanGeometry.dist_sq_eq_dist_sq_add_dist_sq_iff_angle_eq_pi_div_two" . . . . "Lean 4" . . . . . "2026-07-08T17:44:04Z"^^ . . . "Lean 4 Mathlib formalization of the Pythagorean theorem" . "AI assistant by Anthropic that drafted this nanopublication."@en . . "Claude Fable 5" . "RSA" . "MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEAuf45jeLY8du2mdR9Nnr5u0VQC/Ry6wLMP4lGDZo7h5LMKigj2yOeeygfVuFKaaRl5QVvKaMn3VlZRTF14vIWPmP2gEjKsm5ItK0Ii58vh3CkqNLjSfUGreD/jLxvMRS9Urz3FBNy/fTFbK8OovkJLY84XrjTQCH0Z0ZxOXQT9msVYSMAtkA2pZVavwoMc9HFH7lixDHRgn2N8PiAzmvdKozaeFrwI6VykmJahdYGBg+o9fgCPtDSfvfJTEumUkNyRxnlj7U5g7Tq1KK4yWjPHbwQLoZSUwH/KR6pN7QD9sjUOZYRZehnUmn5GrEi17hZPZLisx0mzkmQV7Z/TPhNoQIDAQAB" . "Laaccg+S8tF1wsaPc3nkaiaVSSa+ZZHBTm0WRVTYW7sJ/obnPg4kiIsIRj4SqaRosQ0YFK3TkmIFCw5mPTmsMetBb5NsQPeOQFho03IAfsd2d9xkP5+hJv7LEKuSiYemyQM3HR3cfkKTWVzDovWtkIjp/xnN22vGMKITAcYbJIoDUooRMKvUMsNrZSg4dttc4ab+2rhyfJtWBCbcRrSl/ZOlNvRZenpgiuXb6YOGzYm+ZYF9RPxKn2x4QGehUZzQX8tXJEs33lZVL2RDwVDEey1WGu/NbsuDjf4FnPayg/vsLR/uwluU6mKuav4jmkcL4qUuAY9IjDgRjaMeTL4Fpg==" . . .