diff --git a/homotopy/spectrum.hlean b/homotopy/spectrum.hlean index a38a508..0e8f034 100644 --- a/homotopy/spectrum.hlean +++ b/homotopy/spectrum.hlean @@ -182,9 +182,14 @@ namespace spectrum definition szero [constructor] {N : succ_str} (E F : gen_prespectrum N) : E →ₛ F := smap.mk (λn, pconst (E n) (F n)) + (λn, psquare_of_phtpy_bot (ap1_pconst (E (S n)) (F (S n))) + (psquare_of_pconst_top_bot (glue E n) (glue F n))) + +/- (λn, calc glue F n ∘* pconst (E n) (F n) ~* pconst (E n) (Ω(F (S n))) : pcompose_pconst ... ~* pconst (Ω(E (S n))) (Ω(F (S n))) ∘* glue E n : pconst_pcompose ... ~* Ω→(pconst (E (S n)) (F (S n))) ∘* glue E n : pwhisker_right (glue E n) (ap1_pconst _ _)) +-/ definition stransport [constructor] {N : succ_str} {A : Type} {a a' : A} (p : a = a') (E : A → gen_prespectrum N) : E a →ₛ E a' :=