Apply atleastp_tra with
u15,
u16,
prim4 u4 leaving 2 subgoals.
Apply Subq_atleastp with
u15,
u16.
The subproof is completed by applying ordsuccI1 with
u15.
Apply equip_atleastp with
u16,
prim4 u4.
Apply equip_sym with
prim4 u4,
u16.
Apply unknownprop_18dab10013860d442d73fc2b55cfee57e61b2e3044d2d0c29767dba9e5eb2112 with
λ x0 x1 . equip (prim4 u4) x0.
Apply unknownprop_f5822e9d5891900b4c653eab5e89c5bb71543e61fe2c332750489ecd340604eb with
4.
The subproof is completed by applying nat_4.
Apply unknownprop_aae4e03000d6619cc34e5a66244db6980d668b70bdfc22610af1046fd13449ea with
u3,
u5,
u15,
prim4 u4 leaving 2 subgoals.
The subproof is completed by applying L0.
The subproof is completed by applying TwoRamseyProp_u3_u5_u15.