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Apply add_nat_SR with u12, 7, λ x0 x1 . x1 = u20 leaving 2 subgoals.
The subproof is completed by applying nat_7.
Apply add_nat_SR with u12, 6, λ x0 x1 . ordsucc x1 = u20 leaving 2 subgoals.
The subproof is completed by applying nat_6.
Apply add_nat_SR with u12, 5, λ x0 x1 . ordsucc (ordsucc x1) = u20 leaving 2 subgoals.
The subproof is completed by applying nat_5.
Apply add_nat_SR with u12, 4, λ x0 x1 . ordsucc (ordsucc (ordsucc x1)) = u20 leaving 2 subgoals.
The subproof is completed by applying nat_4.
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