Apply unknownprop_aae4e03000d6619cc34e5a66244db6980d668b70bdfc22610af1046fd13449ea with
u4,
u5,
u32,
prim4 u5 leaving 2 subgoals.
Apply unknownprop_8e67f22739f9a01fd2d9438edd2f3f6d8d323d1fa4d050bc09f5b1af8d3b6dd7 with
λ x0 x1 . atleastp x0 (prim4 u5).
Apply equip_atleastp with
exp_nat u2 u5,
prim4 u5.
Apply equip_sym with
prim4 u5,
exp_nat u2 u5.
Apply unknownprop_f5822e9d5891900b4c653eab5e89c5bb71543e61fe2c332750489ecd340604eb with
u5.
The subproof is completed by applying nat_5.
The subproof is completed by applying TwoRamseyProp_u4_u5_u32.