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adjust spacing
Signed-off-by: Ali Caglayan <[email protected]>
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theories/WildCat/Prod.v

Lines changed: 3 additions & 3 deletions
Original file line numberDiff line numberDiff line change
@@ -233,7 +233,7 @@ Definition fmap_pair {A B C : Type}
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(F : A * B -> C) `{!Is0Functor F}
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{a0 a1 : A} (f : a0 $-> a1) {b0 b1 : B} (g : b0 $-> b1)
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: F (a0, b0) $-> F (a1, b1)
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:= fmap (a:=(a0,b0)) (b:=(a1,b1)) F (f,g).
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:= fmap (a := (a0, b0)) (b := (a1, b1)) F (f, g).
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Definition fmap_pair_comp {A B C : Type}
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`{Is1Cat A, Is1Cat B, Is1Cat C}
@@ -242,12 +242,12 @@ Definition fmap_pair_comp {A B C : Type}
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(f : a0 $-> a1) (h : b0 $-> b1) (g : a1 $-> a2) (i : b1 $-> b2)
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: fmap_pair F (g $o f) (i $o h)
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$== fmap_pair F g i $o fmap_pair F f h
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:= fmap_comp (a:=(a0,b0)) (b:=(a1,b1)) (c:=(a2,b2)) F (f,h) (g,i).
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:= fmap_comp (a := (a0, b0)) (b := (a1, b1)) (c := (a2, b2)) F (f, h) (g, i).
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Definition fmap2_pair {A B C : Type}
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`{Is1Cat A, Is1Cat B, Is1Cat C}
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(F : A * B -> C) `{!Is0Functor F, !Is1Functor F}
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{a0 a1 : A} {f f' : a0 $-> a1} (p : f $== f')
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{b0 b1 : B} {g g' : b0 $-> b1} (q : g $== g')
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: fmap_pair F f g $== fmap_pair F f' g'
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:= fmap2 F (a:=(a0,b0)) (b:=(a1,b1)) (f:=(f,g)) (g:=(f',g')) (p,q).
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:= fmap2 F (a := (a0, b0)) (b := (a1, b1)) (f := (f, g)) (g := (f' ,g')) (p, q).

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