Let x0 of type ι be given.
Let x1 of type ι → ι → ι be given.
Let x2 of type ι be given.
Apply unknownprop_92c6fa644c6dced27956132c489750908a0c8c60a2c0fd4eb67751c9bc54bfc0 with
x0,
x1.
The subproof is completed by applying H0.
Apply H1 with
explicit_Group x2 x1.
Apply unknownprop_92c6fa644c6dced27956132c489750908a0c8c60a2c0fd4eb67751c9bc54bfc0 with
x2,
x1.
The subproof is completed by applying H3.
Apply H1 with
Subq x2 x0.
The subproof is completed by applying H5.
Apply explicit_Group_identity_in with
x0,
x1.
The subproof is completed by applying L2.
Apply explicit_Group_identity_in with
x2,
x1.
The subproof is completed by applying L3.