From 3c51bbea1f8129806b97b7cd405c7987548d8480 Mon Sep 17 00:00:00 2001 From: spiceghello Date: Fri, 9 Jun 2017 10:36:10 -0600 Subject: [PATCH] minor --- homology/homology.hlean | 13 ++++++++++++- 1 file changed, 12 insertions(+), 1 deletion(-) diff --git a/homology/homology.hlean b/homology/homology.hlean index e656240..3c90cd3 100644 --- a/homology/homology.hlean +++ b/homology/homology.hlean @@ -116,6 +116,17 @@ definition homology_functor [constructor] {X Y : Type*} {E F : prespectrum} (f : (g : E →ₛ F) (n : ℤ) : homology X E n →g homology Y F n := pshomotopy_group_fun n (smash_prespectrum_fun f g) +definition homology_theory_spectrum_is_exact.{u} (E : spectrum.{u}) (n : ℤ) {X Y : Type*} (f : X →* Y) : + is_exact_g (homology_functor f (sid (gen_spectrum.to_prespectrum E)) n) + (homology_functor (pcod f) (sid (gen_spectrum.to_prespectrum E)) n) := +begin + esimp[is_exact_g], + -- fconstructor, + -- { intro a, exact sorry }, + -- { intro a, exact sorry } + exact sorry +end + definition homology_theory_spectrum.{u} [constructor] (E : spectrum.{u}) : homology_theory.{u} := begin fapply homology_theory.mk, @@ -125,7 +136,7 @@ begin exact sorry, exact sorry, exact sorry, - exact sorry, + apply homology_theory_spectrum_is_exact, exact sorry -- sorry -- sorry