github GeoCoq/GeoCoq 1.1.0
Completion of the formalization of the first part of the book in 2D.

latest releases: v2.5.0, v2.4.1, v2.4.0...
8 years ago
  • Formalization of Chapter 16 of SST (this completes the formalization of part one of the book in 2D!) :
    definition of coordinates and characterization of Cong and Bet using coordinates.
  • Reorganization of files into directories
  • Creation of a ./configure
  • Characterization of Midpoint and Col using coordinates.
  • Proof of the equivalence between upper-dimension axiom and the fact that all points are coplanar.
  • Proof of the pseudo-transitivity and permutation properties of the generalized con-cyclic predicate.
  • Definition of the sum of angles and related proofs.
  • Proofs about the parallel postulate: assuming a weak geometric version of Archimedes axiom,
    the fact that the sum of angles of a triangle is two rights implies Playfair's postulate.
  • Proofs of the decidability of Chapter 11 predicates, assuming points equality decidability.

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