rename pequiv.sigma_char_equiv' to pequiv.sigma_char_pmap
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2 changed files with 2 additions and 2 deletions
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@ -245,7 +245,7 @@ begin
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apply @is_trunc_equiv_closed_rev _ _ (n + 1) (Grp_equiv n k),
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apply @is_trunc_equiv_closed_rev _ _ (n + 1) (Grp_equiv n k),
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apply is_trunc_succ_intro, intros X Y,
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apply is_trunc_succ_intro, intros X Y,
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apply @is_trunc_equiv_closed_rev _ _ _ (ptruncconntype_eq_equiv X Y),
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apply @is_trunc_equiv_closed_rev _ _ _ (ptruncconntype_eq_equiv X Y),
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apply @is_trunc_equiv_closed_rev _ _ _ (pequiv.sigma_char_equiv' X Y),
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apply @is_trunc_equiv_closed_rev _ _ _ (pequiv.sigma_char_pmap X Y),
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apply @is_trunc_subtype (X →* Y) (λ f, trunctype.mk' -1 (is_equiv f)),
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apply @is_trunc_subtype (X →* Y) (λ f, trunctype.mk' -1 (is_equiv f)),
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apply is_trunc_pmap_of_is_conn X k.-2 (n.-1) (n + k) Y,
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apply is_trunc_pmap_of_is_conn X k.-2 (n.-1) (n + k) Y,
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{ apply le_of_eq, exact (sub_one_add_plus_two_sub_one n k)⁻¹ ⬝ !add_plus_two_comm },
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{ apply le_of_eq, exact (sub_one_add_plus_two_sub_one n k)⁻¹ ⬝ !add_plus_two_comm },
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@ -627,7 +627,7 @@ begin
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refine !idp_con ⬝ _, reflexivity },
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refine !idp_con ⬝ _, reflexivity },
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end
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end
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definition pequiv.sigma_char_equiv' [constructor] (X Y : Type*) :
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definition pequiv.sigma_char_pmap [constructor] (X Y : Type*) :
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(X ≃* Y) ≃ Σ(f : X →* Y), is_equiv f :=
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(X ≃* Y) ≃ Σ(f : X →* Y), is_equiv f :=
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begin
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begin
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fapply equiv.MK,
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fapply equiv.MK,
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