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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: RealsStruct x0.
Let x1 of type ι be given.
Assume H1: x1 ∈ field0 x0.
Let x2 of type ι be given.
Assume H2: x2 ∈ field0 x0.
Assume H3: RealsStruct_lt x0 x1 x2.
Assume H4: RealsStruct_lt x0 x2 x1.
Apply H4 with False.
Assume H5: RealsStruct_leq x0 x2 x1.
Assume H6: x2 = x1 ⟶ ∀ x3 : ο . x3.
Apply RealsStruct_lt_leq_asym with x0, x1, x2 leaving 5 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.
The subproof is completed by applying H5.
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