Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Assume H3: x1 ⊆ x2.
Apply add_nat_com with
x0,
x1,
λ x3 x4 . x4 ⊆ add_nat x0 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 leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H2.
Apply unknownprop_0d6a07247642186ed37de81a1d03e639a8986da4b2779b46c2b8bfff453e4e37 with
x1,
x2,
x0 leaving 4 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H0.