├── .gitignore ├── Data └── Fin │ └── Setoid.agda ├── ProjectivePlane.agda ├── ProjectivePlane ├── Collinear.agda ├── CompleteNPoint.agda ├── CompleteNPoint │ ├── Quadrangle.agda │ ├── Triangle.agda │ └── Triangle │ │ ├── Desargues.agda │ │ ├── DesarguesSymmetries.agda │ │ ├── LemmasD1.agda │ │ ├── LemmasD2.agda │ │ ├── LemmasD3.agda │ │ ├── Perspective.agda │ │ └── PerspectiveProperties.agda ├── Desargues.agda ├── Duality.agda ├── Fano.agda ├── Harmonic │ ├── Base.agda │ ├── Lemmas.agda │ └── Uniqueness │ │ ├── Base.agda │ │ ├── Case-1.agda │ │ ├── Case1-A-1.agda │ │ ├── Case1-A-2.agda │ │ ├── Case1-A-3.agda │ │ ├── Case1-A-4-nuevo.agda │ │ ├── Case1-A-4.agda │ │ ├── Case1-A-5.agda │ │ ├── Case1-A.agda │ │ ├── Case1-B.agda │ │ ├── Case1-C.agda │ │ ├── MBase.agda │ │ ├── MCase1-A.agda │ │ └── Main.agda ├── Properties.agda └── PropertiesGeneral.agda ├── README.md ├── Relation └── Binary │ └── Apartness.agda ├── VanDalen └── Outside.agda └── VonPlato ├── ApartnessGeometry.agda └── ProjectiveGeometry.agda /.gitignore: -------------------------------------------------------------------------------- 1 | *.agdai 2 | *~ 3 | -------------------------------------------------------------------------------- /Data/Fin/Setoid.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/Data/Fin/Setoid.agda -------------------------------------------------------------------------------- /ProjectivePlane.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane.agda -------------------------------------------------------------------------------- /ProjectivePlane/Collinear.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/Collinear.agda -------------------------------------------------------------------------------- /ProjectivePlane/CompleteNPoint.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/CompleteNPoint.agda -------------------------------------------------------------------------------- /ProjectivePlane/CompleteNPoint/Quadrangle.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/CompleteNPoint/Quadrangle.agda -------------------------------------------------------------------------------- /ProjectivePlane/CompleteNPoint/Triangle.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/CompleteNPoint/Triangle.agda -------------------------------------------------------------------------------- /ProjectivePlane/CompleteNPoint/Triangle/Desargues.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/CompleteNPoint/Triangle/Desargues.agda -------------------------------------------------------------------------------- /ProjectivePlane/CompleteNPoint/Triangle/DesarguesSymmetries.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/CompleteNPoint/Triangle/DesarguesSymmetries.agda -------------------------------------------------------------------------------- /ProjectivePlane/CompleteNPoint/Triangle/LemmasD1.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/CompleteNPoint/Triangle/LemmasD1.agda -------------------------------------------------------------------------------- /ProjectivePlane/CompleteNPoint/Triangle/LemmasD2.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/CompleteNPoint/Triangle/LemmasD2.agda -------------------------------------------------------------------------------- /ProjectivePlane/CompleteNPoint/Triangle/LemmasD3.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/CompleteNPoint/Triangle/LemmasD3.agda -------------------------------------------------------------------------------- /ProjectivePlane/CompleteNPoint/Triangle/Perspective.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/CompleteNPoint/Triangle/Perspective.agda -------------------------------------------------------------------------------- /ProjectivePlane/CompleteNPoint/Triangle/PerspectiveProperties.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/CompleteNPoint/Triangle/PerspectiveProperties.agda -------------------------------------------------------------------------------- /ProjectivePlane/Desargues.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/Desargues.agda -------------------------------------------------------------------------------- /ProjectivePlane/Duality.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/Duality.agda -------------------------------------------------------------------------------- /ProjectivePlane/Fano.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/Fano.agda -------------------------------------------------------------------------------- /ProjectivePlane/Harmonic/Base.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/Harmonic/Base.agda -------------------------------------------------------------------------------- /ProjectivePlane/Harmonic/Lemmas.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/Harmonic/Lemmas.agda -------------------------------------------------------------------------------- /ProjectivePlane/Harmonic/Uniqueness/Base.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/Harmonic/Uniqueness/Base.agda -------------------------------------------------------------------------------- /ProjectivePlane/Harmonic/Uniqueness/Case-1.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/Harmonic/Uniqueness/Case-1.agda -------------------------------------------------------------------------------- /ProjectivePlane/Harmonic/Uniqueness/Case1-A-1.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/Harmonic/Uniqueness/Case1-A-1.agda -------------------------------------------------------------------------------- /ProjectivePlane/Harmonic/Uniqueness/Case1-A-2.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/Harmonic/Uniqueness/Case1-A-2.agda -------------------------------------------------------------------------------- /ProjectivePlane/Harmonic/Uniqueness/Case1-A-3.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/Harmonic/Uniqueness/Case1-A-3.agda -------------------------------------------------------------------------------- /ProjectivePlane/Harmonic/Uniqueness/Case1-A-4-nuevo.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/Harmonic/Uniqueness/Case1-A-4-nuevo.agda -------------------------------------------------------------------------------- /ProjectivePlane/Harmonic/Uniqueness/Case1-A-4.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/Harmonic/Uniqueness/Case1-A-4.agda -------------------------------------------------------------------------------- /ProjectivePlane/Harmonic/Uniqueness/Case1-A-5.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/Harmonic/Uniqueness/Case1-A-5.agda -------------------------------------------------------------------------------- /ProjectivePlane/Harmonic/Uniqueness/Case1-A.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/Harmonic/Uniqueness/Case1-A.agda -------------------------------------------------------------------------------- /ProjectivePlane/Harmonic/Uniqueness/Case1-B.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/Harmonic/Uniqueness/Case1-B.agda -------------------------------------------------------------------------------- /ProjectivePlane/Harmonic/Uniqueness/Case1-C.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/Harmonic/Uniqueness/Case1-C.agda -------------------------------------------------------------------------------- /ProjectivePlane/Harmonic/Uniqueness/MBase.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/Harmonic/Uniqueness/MBase.agda -------------------------------------------------------------------------------- /ProjectivePlane/Harmonic/Uniqueness/MCase1-A.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/Harmonic/Uniqueness/MCase1-A.agda -------------------------------------------------------------------------------- /ProjectivePlane/Harmonic/Uniqueness/Main.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/Harmonic/Uniqueness/Main.agda -------------------------------------------------------------------------------- /ProjectivePlane/Properties.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/Properties.agda -------------------------------------------------------------------------------- /ProjectivePlane/PropertiesGeneral.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/ProjectivePlane/PropertiesGeneral.agda -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/README.md -------------------------------------------------------------------------------- /Relation/Binary/Apartness.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/Relation/Binary/Apartness.agda -------------------------------------------------------------------------------- /VanDalen/Outside.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/VanDalen/Outside.agda -------------------------------------------------------------------------------- /VonPlato/ApartnessGeometry.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/VonPlato/ApartnessGeometry.agda -------------------------------------------------------------------------------- /VonPlato/ProjectiveGeometry.agda: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/GuillermoCalderon/ProjectiveGeometryInAgda/HEAD/VonPlato/ProjectiveGeometry.agda --------------------------------------------------------------------------------