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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ιο be given.
Assume H0: ∀ x2 . x1 x2∀ x3 . x3x2nIn x0 x3.
Let x2 of type ι be given.
Assume H1: CD_carr x0 x1 x2.
Apply CD_proj1_1 with x0, x1, x2, x1 (CD_proj1 x0 x1 x2) leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Assume H2: x1 (CD_proj1 x0 x1 x2).
Assume H3: x2 = pair_tag x0 (CD_proj0 x0 x1 x2) (CD_proj1 x0 x1 x2).
The subproof is completed by applying H2.