Apply ordinal_ind with
λ x0 . ∀ x1 . prim1 x1 (56ded.. x0) ⟶ Subq (e4431.. (f4dc0.. x1)) (e4431.. x1).
Let x0 of type ι be given.
Apply H0 with
(∀ x1 . prim1 x1 x0 ⟶ ∀ x2 . prim1 x2 (56ded.. x1) ⟶ Subq (e4431.. (f4dc0.. x2)) (e4431.. x2)) ⟶ ∀ x1 . prim1 x1 (56ded.. x0) ⟶ Subq (e4431.. (f4dc0.. x1)) (e4431.. x1).
Let x1 of type ι be given.
Apply unknownprop_cd21c13b2c3f5b1a3b98367fcb2ef0b03b319d8c325362ea48d721c1e2e4842f with
x0,
x1,
Subq (e4431.. (f4dc0.. x1)) (e4431.. x1) leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H4.
Apply unknownprop_cb0c4ac573f21d515ac1c4f8e66909b50826695f34b524950ade1bb9cca6aa7b with
x1,
λ x2 x3 . Subq (e4431.. x3) (e4431.. x1) leaving 2 subgoals.
The subproof is completed by applying H7.