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Proofgold Proof

pf
Let x0 of type ι → ι → ι be given.
Let x1 of type ι → ι → ι be given.
Assume H0: fb516.. x0.
Assume H1: fb516.. x1.
Apply H0 with fb516.. (355fd.. x0 x1) leaving 2 subgoals.
Assume H2: x0 = ChurchBoolTru.
Apply H2 with λ x2 x3 : ι → ι → ι . fb516.. (355fd.. x3 x1).
Apply unknownprop_e60cd881c7ea9b0aacdf3b02255e99c384363fec424a860b94c5a3c38649498c with x1.
The subproof is completed by applying H1.
Assume H2: x0 = ChurchBoolFal.
Apply H2 with λ x2 x3 : ι → ι → ι . fb516.. (355fd.. x3 x1).
Apply unknownprop_fe36caae5784dcaccf90e3c33c4c3db05a48fc46bf7e1321a13b032e9121e798 with λ x2 x3 : ι → ι → ι . fb516.. (355fd.. x3 x1).
The subproof is completed by applying H1.
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