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Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι → ο be given.
Let x3 of type ι → ο be given.
Let x4 of type ι → ο be given.
Let x5 of type ι → ο be given.
Let x6 of type ι be given.
Let x7 of type ι be given.
Let x8 of type ι be given.
Let x9 of type ι be given.
Apply unknownprop_8e68b72ff83a67e1456a1a376e872d88086fa122267f5962fc138e7f4ac83a5e with 97f57.. x0 x2 x4 x6 x8, x1, x3, x5, x7, x9.
The subproof is completed by applying H0.
Claim L2: x0 = x1
Apply L1 with λ x10 x11 . x0 = x11.
The subproof is completed by applying unknownprop_2f9155626f147b3fc200dd051be41ad101ba085865e832398884ce43b32f1585 with x0, x2, x4, x6, x8.
Apply and5I with x0 = x1, ∀ x10 . prim1 x10 x0 ⟶ x2 x10 = x3 x10, ∀ x10 . prim1 x10 x0 ⟶ x4 x10 = x5 x10, x6 = x7, x8 = x9 leaving 5 subgoals.
The subproof is completed by applying L2.
Let x10 of type ι be given.
Apply unknownprop_bd51551c09ef39684435eed57dd87ec613789fe33493ca284bf145865143f86b with x0, x2, x4, x6, x8, x10, λ x11 x12 : ο . x12 = x3 x10 leaving 2 subgoals.
The subproof is completed by applying H3.
Apply L2 with λ x11 x12 . prim1 x10 x11.
The subproof is completed by applying H3.
Apply H0 with λ x11 x12 . decode_p (f482f.. x12 (4ae4a.. 4a7ef..)) x10 = x3 x10.
Let x11 of type ο → ο → ο be given.
Apply unknownprop_bd51551c09ef39684435eed57dd87ec613789fe33493ca284bf145865143f86b with x1, x3, x5, x7, x9, x10, λ x12 x13 : ο . x11 x13 x12.
The subproof is completed by applying L4.
Let x10 of type ι be given.
Apply unknownprop_0af29260793bdce63e5338c46317de197d0870ce61389b7d6c500492d9513ffb with x0, x2, x4, x6, x8, x10, λ x11 x12 : ο . x12 = x5 x10 leaving 2 subgoals.
The subproof is completed by applying H3.
Apply L2 with λ x11 x12 . prim1 x10 x11.
The subproof is completed by applying H3.
Apply H0 with λ x11 x12 . decode_p (f482f.. x12 (4ae4a.. (4ae4a.. 4a7ef..))) x10 = x5 x10.
Let x11 of type ο → ο → ο be given.
Apply unknownprop_0af29260793bdce63e5338c46317de197d0870ce61389b7d6c500492d9513ffb with x1, x3, x5, x7, x9, x10, λ x12 x13 : ο . x11 x13 x12.
The subproof is completed by applying L4.
Apply unknownprop_a457921de9e3a9aefe70df2eec893ba5dbc45045931175acd504aa4cad6ec7e9 with x0, x2, x4, x6, x8, λ x10 x11 . x11 = x7.
Apply H0 with λ x10 x11 . f482f.. x11 (4ae4a.. (4ae4a.. (4ae4a.. 4a7ef..))) = x7.
Let x10 of type ι → ι → ο be given.
The subproof is completed by applying unknownprop_a457921de9e3a9aefe70df2eec893ba5dbc45045931175acd504aa4cad6ec7e9 with x1, x3, x5, x7, x9, λ x11 x12 . x10 x12 x11.
Apply unknownprop_23f154ef6b58bbe68ebb13d56aa20b2d841e66bc0527438810d21ee7b3f49457 with x0, x2, x4, x6, x8, λ x10 x11 . x11 = x9.
Apply H0 with λ x10 x11 . f482f.. x11 (4ae4a.. (4ae4a.. (4ae4a.. (4ae4a.. 4a7ef..)))) = x9.
Let x10 of type ι → ι → ο be given.
The subproof is completed by applying unknownprop_23f154ef6b58bbe68ebb13d56aa20b2d841e66bc0527438810d21ee7b3f49457 with x1, x3, x5, x7, x9, λ x11 x12 . x10 x12 x11.
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