Search for blocks/addresses/...

Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Assume H0: ordinal x0.
Assume H1: ordinal x1.
Apply H0 with ordinal (0ac37.. x0 x1).
Assume H2: TransSet x0.
Assume H3: ∀ x2 . prim1 x2 x0TransSet x2.
Apply H1 with ordinal (0ac37.. x0 x1).
Assume H4: TransSet x1.
Assume H5: ∀ x2 . prim1 x2 x1TransSet x2.
Apply ordinal_linear with x0, x1, ordinal (0ac37.. x0 x1) leaving 4 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Apply unknownprop_3157c551aca370c19843a0781e5bf2bff997c581235dbed7fd827f251b16ff67 with x0, x1, λ x2 x3 : ο . x3ordinal (0ac37.. x0 x1).
Assume H6: 0ac37.. x0 x1 = x1.
Apply H6 with λ x2 x3 . ordinal x3.
The subproof is completed by applying H1.
Apply unknownprop_3157c551aca370c19843a0781e5bf2bff997c581235dbed7fd827f251b16ff67 with x1, x0, λ x2 x3 : ο . x3ordinal (0ac37.. x0 x1).
Apply unknownprop_26d41f898c6d37a3ad32019e5b97968c60dddaf39b1307e24c8e605475b6f0d8 with x1, x0, λ x2 x3 . x3 = x0ordinal (0ac37.. x0 x1).
Assume H6: 0ac37.. x0 x1 = x0.
Apply H6 with λ x2 x3 . ordinal x3.
The subproof is completed by applying H0.