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Proofgold Signed Transaction
vin
PrHsm..
/
75d0f..
PUh6L..
/
67cea..
vout
PrHsm..
/
e184f..
0.00 bars
TMayU..
/
a7c01..
ownership of
d1655..
as prop with payaddr
Pr6Pc..
rights free controlledby
Pr6Pc..
upto 0
TML22..
/
31d00..
ownership of
18ecc..
as prop with payaddr
Pr6Pc..
rights free controlledby
Pr6Pc..
upto 0
PUgiv..
/
32d71..
doc published by
Pr6Pc..
Param
inv
inv
:
ι
→
(
ι
→
ι
) →
ι
→
ι
Known
inj_linv_coddep
:
∀ x0 x1 .
∀ x2 :
ι → ι
.
(
∀ x3 .
x3
∈
x0
⟶
∀ x4 .
x4
∈
x0
⟶
x2
x3
=
x2
x4
⟶
x3
=
x4
)
⟶
∀ x3 .
x3
∈
x0
⟶
inv
x0
x2
(
x2
x3
)
=
x3
Theorem
inj_linv
inj_linv
:
∀ x0 .
∀ x1 :
ι → ι
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
=
x1
x3
⟶
x2
=
x3
)
⟶
∀ x2 .
x2
∈
x0
⟶
inv
x0
x1
(
x1
x2
)
=
x2
(proof)