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1 changed files with 6 additions and 9 deletions
15
colim.hlean
15
colim.hlean
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@ -350,16 +350,11 @@ namespace seq_colim
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apply whisker_right, esimp,
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rewrite[(eq_con_inv_of_con_eq (!to_homotopy_pt))],
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rewrite[ap_con], esimp,
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rewrite[-+con.assoc],
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rewrite[ap_con], rewrite[-ap_compose'],
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rewrite[+ap_inv],
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rewrite[-+con.assoc, ap_con, -ap_compose', +ap_inv],
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rewrite[-+con.assoc],
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refine _ ⬝ whisker_right _ (whisker_right _ (whisker_right _ (whisker_right _ !con.left_inv⁻¹))),
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rewrite[idp_con],
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rewrite[+con.assoc], apply whisker_left,
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rewrite[ap_con], rewrite[-ap_compose'],
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rewrite[con_inv],
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rewrite[+con.assoc], apply whisker_left,
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rewrite[idp_con, +con.assoc], apply whisker_left,
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rewrite[ap_con, -ap_compose', con_inv, +con.assoc], apply whisker_left,
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refine eq_inv_con_of_con_eq _,
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symmetry, exact eq_of_square !natural_square
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}
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@ -368,7 +363,9 @@ namespace seq_colim
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definition seq_colim_equiv_constant_pinclusion {A : ℕ → Type*} {f f' : Π⦃n⦄, A n →* A (n+1)}
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(p : Π⦃n⦄ (a : A n), f a = f' a) (n : ℕ) :
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pseq_colim_equiv_constant p ∘* pinclusion f n ~* pinclusion f' n :=
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sorry
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begin
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sorry
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end
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definition is_equiv_seq_colim_rec (P : seq_colim f → Type) :
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is_equiv (seq_colim_rec_unc :
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