Let x0 of type ι be given.
Let x1 of type ι be given.
Apply RealsStruct_mult_com with
x0,
field4 x0,
x1,
λ x2 x3 . x3 = field4 x0 leaving 4 subgoals.
The subproof is completed by applying H0.
Apply RealsStruct_zero_In with
x0.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Apply RealsStruct_zero_multR with
x0,
x1 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.