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Triangles #5

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Taneb merged 3 commits from tri into main 2024-06-22 16:14:23 +01:00
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src/Thinning/Triangle.agda
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@ -14,7 +14,7 @@ private
A : Set a A : Set a
x : A x : A
xs ys zs : List A xs ys zs : List A
θ φ ψ : Thinning A xs ys θ φ φ′ ψ : Thinning A xs ys
-- Thinning triangles -- Thinning triangles
------------------------------------------------------------------------ ------------------------------------------------------------------------
@ -46,3 +46,10 @@ untriangle end = refl
untriangle (include ▴) = cong include (untriangle ▴) untriangle (include ▴) = cong include (untriangle ▴)
untriangle (occlude ▴) = cong exclude (untriangle ▴) untriangle (occlude ▴) = cong exclude (untriangle ▴)
untriangle (exclude ▴) = cong exclude (untriangle ▴) untriangle (exclude ▴) = cong exclude (untriangle ▴)
-- If we have two triangles with common edges, the third edge must also be equal
triangleUnique : Triangle A θ φ ψ → Triangle A θ φ′ ψ → φ ≡ φ′
triangleUnique end end = refl
triangleUnique (include ▴) (include ▵) = cong include (triangleUnique ▴ ▵)
triangleUnique (occlude ▴) (occlude ▵) = triangleUnique ▴ ▵
triangleUnique (exclude ▴) (exclude ▵) = cong exclude (triangleUnique ▴ ▵)