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