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`32`
: Z
[f:(nat->Z)]`(f O)+0`
: (nat->Z)->Z
[x:positive](POS (xO x))
: positive->Z
[x:positive]`(POS x)+1`
: positive->Z
[x:positive](POS x)
: positive->Z
[x:positive](NEG (xO x))
: positive->Z
[x:positive]`(POS (xO x))+0`
: positive->Z
[x:positive]`(Zopp (POS (xO x)))`
: positive->Z
[x:positive]`(Zopp (POS (xO x)))+0`
: positive->Z
`(inject_nat (0))+1`
: Z
`0+(inject_nat (plus (0) (0)))`
: Z
`(inject_nat (0)) = 0`
: Prop
`0+(inject_nat (11))`
: Z
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