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Proofgold Proposition

∀ x0 x1 : ι → ι → ο . ∀ x2 . wceq (cprod x0 x1) (cio (λ x3 . wo (wrex (λ x4 . w3a (wss (x0 x2) (cfv (cv x4) cuz)) (wrex (λ x5 . wex (λ x6 . wa (wne (cv x6) cc0) (wbr (cseq cmul (cmpt (λ x7 . cz) (λ x7 . cif (wcel (cv x7) (x0 x7)) (x1 x7) c1)) (cv x5)) (cv x6) cli))) (λ x5 . cfv (cv x4) cuz)) (wbr (cseq cmul (cmpt (λ x5 . cz) (λ x5 . cif (wcel (cv x5) (x0 x5)) (x1 x5) c1)) (cv x4)) (cv x3) cli)) (λ x4 . cz)) (wrex (λ x4 . wex (λ x5 . wa (wf1o (co c1 (cv x4) cfz) (x0 x2) (cv x5)) (wceq (cv x3) (cfv (cv x4) (cseq cmul (cmpt (λ x6 . cn) (λ x6 . csb (cfv (cv x6) (cv x5)) x1)) c1))))) (λ x4 . cn))))
type
prop
theory
SetMM
name
df_prod
proof
PUWCs..
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proofgold address
TMaVw..
creator
36397 PrCmT../14874..
owner
36397 PrCmT../14874..
term root
97950..