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spectrify_map (last triangle missing)

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spiceghello 2017-06-08 12:13:01 -06:00
parent abe62d1f61
commit 15cc880b15
1 changed files with 9 additions and 6 deletions
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15
homotopy/spectrum.hlean
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@ -438,14 +438,17 @@ namespace spectrum
begin begin
fapply smap.mk, fapply smap.mk,
{ intro n, exact pinclusion _ 0 }, { intro n, exact pinclusion _ 0 },
{ intro n, apply phomotopy_of_psquare, refine !pid_pcompose⁻¹* ⬝ph* _, { intro n, apply phomotopy_of_psquare,
refine !pid_pcompose⁻¹* ⬝ph* _, refine !pid_pcompose⁻¹* ⬝ph* _,
--pshift_equiv_pinclusion (spectrify_type_fun X n) 0
refine !passoc ⬝* pwhisker_left _ (pshift_equiv_pinclusion (spectrify_type_fun X n) 0) ⬝* _, refine !passoc ⬝* pwhisker_left _ (pshift_equiv_pinclusion (spectrify_type_fun X n) 0) ⬝* _,
--refine !passoc ⬝* pwhisker_left _ _ ⬝* _, refine !passoc⁻¹* ⬝* _,
--rotate 1, exact phomotopy_of_psquare !pseq_colim_pequiv_pinclusion refine _ ◾* (spectrify_type_fun_zero X n ⬝* !pid_pcompose⁻¹*),
exact sorry refine !passoc ⬝* pwhisker_left _ !pseq_colim_pequiv_pinclusion ⬝* _,
} refine pwhisker_left _ (pwhisker_left _ (ap1_pid) ⬝* !pcompose_pid) ⬝* _,
refine !passoc ⬝* pwhisker_left _ !seq_colim_equiv_constant_pinclusion ⬝* _,
apply pinv_left_phomotopy_of_phomotopy,
exact !pseq_colim_loop_pinclusion⁻¹*
}
end end
definition spectrify.elim {N : succ_str} {X : gen_prespectrum N} {Y : gen_spectrum N} definition spectrify.elim {N : succ_str} {X : gen_prespectrum N} {Y : gen_spectrum N}