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Proofgold Proof

pf
Apply unknownprop_8f091fac19628539fcf2e218e3dc2a99ae1149b00810a44df3df9898ec6617fb with ordsucc, prim1, ChurchNum_ii_3 ChurchNum2 ordsucc (ChurchNum_ii_2 ChurchNum2 ordsucc 100), 99 leaving 2 subgoals.
The subproof is completed by applying ordsuccI1.
Apply unknownprop_0a70d2d43ea31863dc5afb5c5dd839dddd16f01bbe480459e9d6b2402dd27bce with ordsucc, prim1, ChurchNum_ii_2 ChurchNum2 ordsucc 100, 99 leaving 2 subgoals.
The subproof is completed by applying ordsuccI1.
Apply unknownprop_11e15fca8ff1d439d23914dd5828d3dfc7587cdbdb1b58f4cdcd37abbc83a41a with ordsucc, prim1, 100, 99 leaving 2 subgoals.
The subproof is completed by applying ordsuccI1.
The subproof is completed by applying ordsuccI2 with 99.