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reflexive-htpy-... -> refl-htpy-...
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VojtechStep committed Jan 16, 2024
1 parent 1ea12cc commit e9d7cce
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Original file line number Diff line number Diff line change
Expand Up @@ -203,16 +203,16 @@ module _
( c : cocone-sequential-diagram A X)
where

reflexive-htpy-cocone-sequential-diagram :
refl-htpy-cocone-sequential-diagram :
htpy-cocone-sequential-diagram c c
pr1 reflexive-htpy-cocone-sequential-diagram n = refl-htpy
pr2 reflexive-htpy-cocone-sequential-diagram n = right-unit-htpy
pr1 refl-htpy-cocone-sequential-diagram n = refl-htpy
pr2 refl-htpy-cocone-sequential-diagram n = right-unit-htpy

htpy-eq-cocone-sequential-diagram :
( c' : cocone-sequential-diagram A X) ( c = c')
htpy-cocone-sequential-diagram c c'
htpy-eq-cocone-sequential-diagram .c refl =
reflexive-htpy-cocone-sequential-diagram
refl-htpy-cocone-sequential-diagram

abstract
is-torsorial-htpy-cocone-sequential-diagram :
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Expand Up @@ -191,17 +191,17 @@ module _
{ c : cocone-sequential-diagram A X} (P : X UU l3)
where

reflexive-htpy-dependent-cocone-sequential-diagram :
refl-htpy-dependent-cocone-sequential-diagram :
( d : dependent-cocone-sequential-diagram c P)
htpy-dependent-cocone-sequential-diagram P d d
pr1 (reflexive-htpy-dependent-cocone-sequential-diagram d) n = refl-htpy
pr2 (reflexive-htpy-dependent-cocone-sequential-diagram d) n = right-unit-htpy
pr1 (refl-htpy-dependent-cocone-sequential-diagram d) n = refl-htpy
pr2 (refl-htpy-dependent-cocone-sequential-diagram d) n = right-unit-htpy

htpy-eq-dependent-cocone-sequential-diagram :
( d d' : dependent-cocone-sequential-diagram c P)
( d = d') htpy-dependent-cocone-sequential-diagram P d d'
htpy-eq-dependent-cocone-sequential-diagram d .d refl =
reflexive-htpy-dependent-cocone-sequential-diagram d
refl-htpy-dependent-cocone-sequential-diagram d

abstract
is-torsorial-htpy-dependent-cocone-sequential-diagram :
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Original file line number Diff line number Diff line change
Expand Up @@ -228,15 +228,15 @@ module _
{ l1 l2 : Level} (A : sequential-diagram l1) (B : sequential-diagram l2)
where

reflexive-htpy-hom-sequential-diagram :
refl-htpy-hom-sequential-diagram :
( f : hom-sequential-diagram A B) htpy-hom-sequential-diagram B f f
pr1 (reflexive-htpy-hom-sequential-diagram f) = ev-pair refl-htpy
pr2 (reflexive-htpy-hom-sequential-diagram f) = ev-pair right-unit-htpy
pr1 (refl-htpy-hom-sequential-diagram f) = ev-pair refl-htpy
pr2 (refl-htpy-hom-sequential-diagram f) = ev-pair right-unit-htpy

htpy-eq-sequential-diagram :
( f f' : hom-sequential-diagram A B)
( f = f') htpy-hom-sequential-diagram B f f'
htpy-eq-sequential-diagram f .f refl = reflexive-htpy-hom-sequential-diagram f
htpy-eq-sequential-diagram f .f refl = refl-htpy-hom-sequential-diagram f

abstract
is-torsorial-htpy-sequential-diagram :
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