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fredrik-bakke committed Feb 24, 2024
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Showing 1 changed file with 6 additions and 2 deletions.
8 changes: 6 additions & 2 deletions src/foundation/standard-pullbacks.lagda.md
Original file line number Diff line number Diff line change
Expand Up @@ -259,14 +259,18 @@ module _
inr (x , y , is-injective-inr p)

is-section-map-inv-coproduct-cone-standard-pullback :
is-section map-coproduct-cone-standard-pullback map-inv-coproduct-cone-standard-pullback
is-section
( map-coproduct-cone-standard-pullback)
( map-inv-coproduct-cone-standard-pullback)
is-section-map-inv-coproduct-cone-standard-pullback (inl x , inl y , p) =
eq-pair-eq-fiber (eq-pair-eq-fiber (is-section-is-injective-inl p))
is-section-map-inv-coproduct-cone-standard-pullback (inr x , inr y , p) =
eq-pair-eq-fiber (eq-pair-eq-fiber (is-section-is-injective-inr p))

is-retraction-map-inv-coproduct-cone-standard-pullback :
is-retraction map-coproduct-cone-standard-pullback map-inv-coproduct-cone-standard-pullback
is-retraction
( map-coproduct-cone-standard-pullback)
( map-inv-coproduct-cone-standard-pullback)
is-retraction-map-inv-coproduct-cone-standard-pullback (inl (x , y , p)) =
ap
( inl)
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