Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι → ι → ι be given.
Let x3 of type ι → ι → ι be given.
Apply unknownprop_90e0281ca50dd9937c4dc4598e4b18b763eeb528d21427cfd7d571699b566522 with
λ x4 . λ x5 : ι → ι → ι . 93c99.. (987b2.. x0 x2) (λ x6 . λ x7 : ι → ι → ι . and (and (987b2.. x0 x2 = 987b2.. x6 x5) (4f2b4.. (987b2.. x6 x5))) (Subq x6 x4)),
x1,
x3,
λ x4 x5 : ο . x5 = and (and (987b2.. x0 x2 = 987b2.. x0 x3) (4f2b4.. (987b2.. x0 x3))) (Subq x0 x1) leaving 2 subgoals.
Let x4 of type ι → ι → ι be given.
Assume H0:
∀ x5 . prim1 x5 x1 ⟶ ∀ x6 . prim1 x6 x1 ⟶ x3 x5 x6 = x4 x5 x6.
Apply unknownprop_2c910a90451492bce41b148527a925f3c473a4798adb2a8da5328ebb68c7247f with
x0,
x1,
x2,
x3,
λ x5 x6 : ο . 93c99.. (987b2.. x0 x2) (λ x7 . λ x8 : ι → ι → ι . and (and (987b2.. x0 x2 = 987b2.. x7 x4) (4f2b4.. (987b2.. x7 x4))) (Subq x7 x1)) = x6.
Apply unknownprop_2c910a90451492bce41b148527a925f3c473a4798adb2a8da5328ebb68c7247f with
x0,
x1,
x2,
x4,
λ x5 x6 : ο . x6 = and (and (987b2.. x0 x2 = 987b2.. x0 x3) (4f2b4.. (987b2.. x0 x3))) (Subq x0 x1).