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695bd70 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 | import OAI.Geometry.SingularHomology.SimplexSingularRealization
import OAI.Geometry.SingularHomology.AffineSingularRealization
namespace OAI
noncomputable section
namespace Problem340.SimplexSingularRealization
theorem realize_eq_realizeInSimplex (k n : ℕ) :
realize k n = AffineSingularRealization.realizeInSimplex k n := by
apply SingularSubdivision.linearMap_ext
intro v
rw [realize_generator, AffineSingularRealization.realizeInSimplex_generator]
rfl
end Problem340.SimplexSingularRealization
end
end OAI
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