Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Apply unknownprop_0bc05861c326df1bc856e9663c3bd091fe6729155095d255366b172bf07600be 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 unknownprop_0bc05861c326df1bc856e9663c3bd091fe6729155095d255366b172bf07600be 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_8526d39202e942bb4d94c5f0331f2b5d98925e49816cb1932e35dd12c5b84960 with
x1,
x2,
x0.
The subproof is completed by applying H0.