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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.
Let x4 of type ι be given.
Assume H0: CSNo x0.
Assume H1: CSNo x1.
Assume H2: CSNo x2.
Assume H3: CSNo x3.
Assume H4: CSNo x4.
Apply unknownprop_8f00f9db3633f6178cb0cf83b7682b34a4811960bd09884862d46b68f70f245f with x1, x2, x3, x4, λ x5 x6 . add_CSNo x0 x6 = add_CSNo x4 (add_CSNo x0 (add_CSNo x1 (add_CSNo x2 x3))) leaving 5 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 H4.
Apply unknownprop_da96b87d1828fc8ba863b6e04bdabe0039a91c2aa965c2060e150e0d03b88cbb with x0, x4, add_CSNo x1 (add_CSNo x2 x3) leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H4.
Apply unknownprop_c43d8335769836c36f9b797ba1eb1e4cdc54581b36d1df362a19e77c9778f7ce with x1, x2, x3 leaving 3 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.