Search for blocks/addresses/...

Proofgold Asset

asset id
ec5ba59317423c60a61d7775fcbf2405cecf072253594d142e4e7d425dba5f71
asset hash
276323949f2d5373b171e2c60b2299d4e1a8d416a5617d0d1103028e05e26c20
bday / block
9725
tx
039b1..
preasset
doc published by PrCx1..
Param lam_idlam_id : ιι
Param apap : ιιι
Definition struct_idstruct_id := λ x0 . lam_id (ap x0 0)
Param lam_complam_comp : ιιιι
Definition struct_compstruct_comp := λ x0 x1 x2 . lam_comp (ap x0 0)
Param MetaCat_initial_pinitial_p : (ιο) → (ιιιο) → (ιι) → (ιιιιιι) → ι(ιι) → ο
Param struct_rstruct_r : ιο
Param BinRelnHomHom_struct_r : ιιιο
Conjecture d664c..MetaCat_struct_r_initial : ∀ x0 : ο . (∀ x1 . (∀ x2 : ο . (∀ x3 : ι → ι . MetaCat_initial_p struct_r BinRelnHom struct_id struct_comp x1 x3x2)x2)x0)x0
Param MetaCat_terminal_pterminal_p : (ιο) → (ιιιο) → (ιι) → (ιιιιιι) → ι(ιι) → ο
Conjecture f400a..MetaCat_struct_r_terminal : ∀ x0 : ο . (∀ x1 . (∀ x2 : ο . (∀ x3 : ι → ι . MetaCat_terminal_p struct_r BinRelnHom struct_id struct_comp x1 x3x2)x2)x0)x0
Param MetaCat_coproduct_constr_pcoproduct_constr_p : (ιο) → (ιιιο) → (ιι) → (ιιιιιι) → (ιιι) → (ιιι) → (ιιι) → (ιιιιιι) → ο
Conjecture 9a2fc..MetaCat_struct_r_coproduct_constr : ∀ x0 : ο . (∀ x1 : ι → ι → ι . (∀ x2 : ο . (∀ x3 : ι → ι → ι . (∀ x4 : ο . (∀ x5 : ι → ι → ι . (∀ x6 : ο . (∀ x7 : ι → ι → ι → ι → ι → ι . MetaCat_coproduct_constr_p struct_r BinRelnHom struct_id struct_comp x1 x3 x5 x7x6)x6)x4)x4)x2)x2)x0)x0
Param MetaCat_product_constr_pproduct_constr_p : (ιο) → (ιιιο) → (ιι) → (ιιιιιι) → (ιιι) → (ιιι) → (ιιι) → (ιιιιιι) → ο
Conjecture ece68..MetaCat_struct_r_product_constr : ∀ x0 : ο . (∀ x1 : ι → ι → ι . (∀ x2 : ο . (∀ x3 : ι → ι → ι . (∀ x4 : ο . (∀ x5 : ι → ι → ι . (∀ x6 : ο . (∀ x7 : ι → ι → ι → ι → ι → ι . MetaCat_product_constr_p struct_r BinRelnHom struct_id struct_comp x1 x3 x5 x7x6)x6)x4)x4)x2)x2)x0)x0
Param MetaCat_coequalizer_buggy_struct_p : (ιο) → (ιιιο) → (ιι) → (ιιιιιι) → (ιιιιι) → (ιιιιι) → (ιιιιιιι) → ο
Conjecture d6bec.. : ∀ x0 : ο . (∀ x1 : ι → ι → ι → ι → ι . (∀ x2 : ο . (∀ x3 : ι → ι → ι → ι → ι . (∀ x4 : ο . (∀ x5 : ι → ι → ι → ι → ι → ι → ι . MetaCat_coequalizer_buggy_struct_p struct_r BinRelnHom struct_id struct_comp x1 x3 x5x4)x4)x2)x2)x0)x0
Param MetaCat_equalizer_buggy_struct_p : (ιο) → (ιιιο) → (ιι) → (ιιιιιι) → (ιιιιι) → (ιιιιι) → (ιιιιιιι) → ο
Conjecture d202e.. : ∀ x0 : ο . (∀ x1 : ι → ι → ι → ι → ι . (∀ x2 : ο . (∀ x3 : ι → ι → ι → ι → ι . (∀ x4 : ο . (∀ x5 : ι → ι → ι → ι → ι → ι → ι . MetaCat_equalizer_buggy_struct_p struct_r BinRelnHom struct_id struct_comp x1 x3 x5x4)x4)x2)x2)x0)x0
Param MetaCat_pushout_buggy_constr_p : (ιο) → (ιιιο) → (ιι) → (ιιιιιι) → (ιιιιιι) → (ιιιιιι) → (ιιιιιι) → (ιιιιιιιιι) → ο
Conjecture 158e3.. : ∀ x0 : ο . (∀ x1 : ι → ι → ι → ι → ι → ι . (∀ x2 : ο . (∀ x3 : ι → ι → ι → ι → ι → ι . (∀ x4 : ο . (∀ x5 : ι → ι → ι → ι → ι → ι . (∀ x6 : ο . (∀ x7 : ι → ι → ι → ι → ι → ι → ι → ι → ι . MetaCat_pushout_buggy_constr_p struct_r BinRelnHom struct_id struct_comp x1 x3 x5 x7x6)x6)x4)x4)x2)x2)x0)x0
Param MetaCat_pullback_buggy_struct_p : (ιο) → (ιιιο) → (ιι) → (ιιιιιι) → (ιιιιιι) → (ιιιιιι) → (ιιιιιι) → (ιιιιιιιιι) → ο
Conjecture ebf2e.. : ∀ x0 : ο . (∀ x1 : ι → ι → ι → ι → ι → ι . (∀ x2 : ο . (∀ x3 : ι → ι → ι → ι → ι → ι . (∀ x4 : ο . (∀ x5 : ι → ι → ι → ι → ι → ι . (∀ x6 : ο . (∀ x7 : ι → ι → ι → ι → ι → ι → ι → ι → ι . MetaCat_pullback_buggy_struct_p struct_r BinRelnHom struct_id struct_comp x1 x3 x5 x7x6)x6)x4)x4)x2)x2)x0)x0
Param MetaCat_exp_constr_pproduct_exponent_constr_p : (ιο) → (ιιιο) → (ιι) → (ιιιιιι) → (ιιι) → (ιιι) → (ιιι) → (ιιιιιι) → (ιιι) → (ιιι) → (ιιιιι) → ο
Conjecture 7f417..MetaCat_struct_r_product_exponent : ∀ x0 : ο . (∀ x1 : ι → ι → ι . (∀ x2 : ο . (∀ x3 : ι → ι → ι . (∀ x4 : ο . (∀ x5 : ι → ι → ι . (∀ x6 : ο . (∀ x7 : ι → ι → ι → ι → ι → ι . (∀ x8 : ο . (∀ x9 : ι → ι → ι . (∀ x10 : ο . (∀ x11 : ι → ι → ι . (∀ x12 : ο . (∀ x13 : ι → ι → ι → ι → ι . MetaCat_exp_constr_p struct_r BinRelnHom struct_id struct_comp x1 x3 x5 x7 x9 x11 x13x12)x12)x10)x10)x8)x8)x6)x6)x4)x4)x2)x2)x0)x0
Param MetaCat_subobject_classifier_buggy_p : (ιο) → (ιιιο) → (ιι) → (ιιιιιι) → ι(ιι) → ιι(ιιιι) → (ιιιιιιι) → ο
Conjecture aba4e.. : ∀ x0 : ο . (∀ x1 . (∀ x2 : ο . (∀ x3 : ι → ι . (∀ x4 : ο . (∀ x5 . (∀ x6 : ο . (∀ x7 . (∀ x8 : ο . (∀ x9 : ι → ι → ι → ι . (∀ x10 : ο . (∀ x11 : ι → ι → ι → ι → ι → ι → ι . MetaCat_subobject_classifier_buggy_p struct_r BinRelnHom struct_id struct_comp x1 x3 x5 x7 x9 x11x10)x10)x8)x8)x6)x6)x4)x4)x2)x2)x0)x0
Param MetaCat_nno_pnno_p : (ιο) → (ιιιο) → (ιι) → (ιιιιιι) → ι(ιι) → ιιι(ιιιι) → ο
Conjecture 86a35..MetaCat_struct_r_nno : ∀ x0 : ο . (∀ x1 . (∀ x2 : ο . (∀ x3 : ι → ι . (∀ x4 : ο . (∀ x5 . (∀ x6 : ο . (∀ x7 . (∀ x8 : ο . (∀ x9 . (∀ x10 : ο . (∀ x11 : ι → ι → ι → ι . MetaCat_nno_p struct_r BinRelnHom struct_id struct_comp x1 x3 x5 x7 x9 x11x10)x10)x8)x8)x6)x6)x4)x4)x2)x2)x0)x0
Param MetaAdjunction_strictMetaAdjunction_strict : (ιο) → (ιιιο) → (ιι) → (ιιιιιι) → (ιο) → (ιιιο) → (ιι) → (ιιιιιι) → (ιι) → (ιιιι) → (ιι) → (ιιιι) → (ιι) → (ιι) → ο
Param TrueTrue : ο
Param HomSetSetHom : ιιιο
Conjecture 301a5..MetaCat_struct_r_left_adjoint_forgetful : ∀ x0 : ο . (∀ x1 : ι → ι . (∀ x2 : ο . (∀ x3 : ι → ι → ι → ι . (∀ x4 : ο . (∀ x5 : ι → ι . (∀ x6 : ο . (∀ x7 : ι → ι . MetaAdjunction_strict (λ x8 . True) HomSet lam_id (λ x8 x9 x10 . lam_comp x8) struct_r BinRelnHom struct_id struct_comp x1 x3 (λ x8 . ap x8 0) (λ x8 x9 x10 . x10) x5 x7x6)x6)x4)x4)x2)x2)x0)x0