Apply unknownprop_aae4e03000d6619cc34e5a66244db6980d668b70bdfc22610af1046fd13449ea with
5,
6,
150,
prim4 8 leaving 2 subgoals.
Apply atleastp_tra with
150,
exp_nat 2 8,
prim4 8 leaving 2 subgoals.
Apply unknownprop_53a54314c9a6a892295b2ded3eab37435879a00813e71bc2836df12be576e7ac with
λ x0 x1 . atleastp 150 x1.
Apply nat_In_atleastp with
ChurchNum_ii_8 ChurchNum2 ordsucc 0,
150 leaving 2 subgoals.
The subproof is completed by applying unknownprop_c39f4091a15f1ff7b3dd65d38fd37d060cdcbceda205863f5e715a04f6271f28.
The subproof is completed by applying unknownprop_352839fae6b3260e14c368cdee78d6817328ff3d2ca3ea2351872812b1d63d38.
Apply equip_atleastp with
exp_nat 2 8,
prim4 8.
Apply equip_sym with
prim4 8,
exp_nat 2 8.
Apply unknownprop_f5822e9d5891900b4c653eab5e89c5bb71543e61fe2c332750489ecd340604eb with
8.
The subproof is completed by applying nat_8.
The subproof is completed by applying TwoRamseyProp_5_6_150.