Let x0 of type ι be given.
Apply H0 with
ordinal (4ae4a.. x0).
Apply andI with
TransSet (4ae4a.. x0),
∀ x1 . prim1 x1 (4ae4a.. x0) ⟶ TransSet x1 leaving 2 subgoals.
Apply unknownprop_d3e80beb0c20243a7c8c977b144a49809b702b0fa83b3d4a3b02793ba10d1d65 with
x0.
The subproof is completed by applying H1.
Let x1 of type ι be given.
Apply unknownprop_dec2978c0a72cebd51fcab0a380f03d4d80d1ccd8f826d378953148c305a60f0 with
x0,
x1,
TransSet x1 leaving 3 subgoals.
The subproof is completed by applying H3.
Apply H2 with
x1.
The subproof is completed by applying H4.
Assume H4: x1 = x0.
Apply H4 with
λ x2 x3 . TransSet x3.
The subproof is completed by applying H1.