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small changes after changes in HoTT library

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This commit is contained in:
Floris van Doorn 2016-06-23 21:53:50 +01:00
parent d6d08ccd83
commit 21c6e8f7e5
2 changed files with 3 additions and 3 deletions
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2
homotopy/LES_of_homotopy_groups_old.hlean
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@ -708,7 +708,7 @@ namespace chain_complex namespace old
definition CommGroup_LES_of_homotopy_groups3 (n : +6ℕ) : CommGroup.{u} := definition CommGroup_LES_of_homotopy_groups3 (n : +6ℕ) : CommGroup.{u} :=
CommGroup.mk (LES_of_homotopy_groups3 f (pr1 n + 1, pr2 n)) CommGroup.mk (LES_of_homotopy_groups3 f (pr1 n + 1, pr2 n))
(comm_group_LES_of_homotopy_groups3 f (pr1 n) (pr2 n)) (comm_group_LES_of_homotopy_groups3 f (pr1 n) (pr2 n))
exit
definition homomorphism_LES_of_homotopy_groups_fun3 : Π(k : +6ℕ), definition homomorphism_LES_of_homotopy_groups_fun3 : Π(k : +6ℕ),
CommGroup_LES_of_homotopy_groups3 f (S k) →g CommGroup_LES_of_homotopy_groups3 f k CommGroup_LES_of_homotopy_groups3 f (S k) →g CommGroup_LES_of_homotopy_groups3 f k
| (k, fin.mk 0 H) := | (k, fin.mk 0 H) :=

4
homotopy/spectrum.hlean
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@ -33,7 +33,7 @@ end eq open eq
namespace pointed namespace pointed
definition pequiv_compose {A B C : Type*} (g : B ≃* C) (f : A ≃* B) : A ≃* C := definition pequiv_compose {A B C : Type*} (g : B ≃* C) (f : A ≃* B) : A ≃* C :=
pequiv_of_pmap (g ∘* f) (is_equiv_compose f g) pequiv_of_pmap (g ∘* f) (is_equiv_compose g f)
infixr ` ∘*ᵉ `:60 := pequiv_compose infixr ` ∘*ᵉ `:60 := pequiv_compose
@ -63,7 +63,7 @@ namespace pointed
... ≃ Σ(p : pmap.to_fun f = pmap.to_fun g), resp_pt f = ap (λh, h pt) p ⬝ resp_pt g ... ≃ Σ(p : pmap.to_fun f = pmap.to_fun g), resp_pt f = ap (λh, h pt) p ⬝ resp_pt g
: sigma_equiv_sigma_right (λp, pathover_eq_equiv_Fl p (resp_pt f) (resp_pt g)) : sigma_equiv_sigma_right (λp, pathover_eq_equiv_Fl p (resp_pt f) (resp_pt g))
... ≃ Σ(p : pmap.to_fun f = pmap.to_fun g), resp_pt f = ap10 p pt ⬝ resp_pt g ... ≃ Σ(p : pmap.to_fun f = pmap.to_fun g), resp_pt f = ap10 p pt ⬝ resp_pt g
: sigma_equiv_sigma_right (λp, equiv_eq_closed_right _ (whisker_right (ap_eq_ap10 p _) _)) : sigma_equiv_sigma_right (λp, equiv_eq_closed_right _ (whisker_right (ap_eq_apd10 p _) _))
... ≃ Σ(p : pmap.to_fun f ~ pmap.to_fun g), resp_pt f = p pt ⬝ resp_pt g ... ≃ Σ(p : pmap.to_fun f ~ pmap.to_fun g), resp_pt f = p pt ⬝ resp_pt g
: sigma_equiv_sigma_left' eq_equiv_homotopy : sigma_equiv_sigma_left' eq_equiv_homotopy
... ≃ Σ(p : pmap.to_fun f ~ pmap.to_fun g), p pt ⬝ resp_pt g = resp_pt f ... ≃ Σ(p : pmap.to_fun f ~ pmap.to_fun g), p pt ⬝ resp_pt g = resp_pt f