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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Let x3 of type ι be given.
Assume H0: CSNo x0.
Assume H1: CSNo x1.
Assume H2: CSNo x2.
Assume H3: CSNo x3.
Apply unknownprop_6df04587a59e9b54f0549c96144213d94328d0b365474f739b895e743839c817 with x3, minus_CSNo x2, λ x4 x5 . add_CSNo (add_CSNo x0 (add_CSNo x1 x2)) x5 = add_CSNo x0 (add_CSNo x1 x3) leaving 3 subgoals.
The subproof is completed by applying H3.
Apply CSNo_minus_CSNo with x2.
The subproof is completed by applying H2.
Apply unknownprop_25736a7f92c31e8fd99a310f6c7a28172c5f7a5b698118098169e99d8456d9ea with x0, x1, x2, x3 leaving 4 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.