Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Apply add_nat_com with
x0,
x1,
λ x3 x4 . x4 = add_nat x0 x2 ⟶ x1 = x2 leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Apply add_nat_com with
x0,
x2,
λ x3 x4 . add_nat x1 x0 = x4 ⟶ x1 = x2 leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H2.
Apply unknownprop_a18c63af6cc91e0cba0f214b9549b90cd7c7bce0eb5ad36c134e544b9910ea61 with
x1,
x2,
x0 leaving 3 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H0.