add explanation of universal property of cofiber
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@ -485,6 +485,11 @@ namespace pushout
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apply eq_inv_con_of_con_eq, exact (to_homotopy_pt p)⁻¹ }
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end
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/-
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The maps Z^{C_f} --> Z^Y --> Z^X are exact at Z^Y.
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Here Y^X means pointed maps from X to Y and C_f is the cofiber of f.
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The maps are given by precomposing with (pcod f) and f.
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-/
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definition cofiber_exact {X Y Z : Type*} (f : X →* Y) :
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is_exact_t (@ppcompose_right _ _ Z (pcod f)) (ppcompose_right f) :=
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begin
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