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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: Field x0.
Let x1 of type ι be given.
Assume H1: x1 ∈ field0 x0.
Let x2 of type ι be given.
Assume H2: x2 ∈ setminus (field0 x0) (Sing (field3 x0)).
Apply Field_div_prop with x0, x1, x2, Field_div x0 x1 x2 ∈ field0 x0 leaving 4 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
Assume H3: Field_div x0 x1 x2 ∈ field0 x0.
Assume H4: x1 = field2b x0 x2 (Field_div x0 x1 x2).
The subproof is completed by applying H3.
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