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Theorem thincssc 48004
Description: A thin category is a category. (Contributed by Zhi Wang, 17-Sep-2024.)
Assertion
Ref Expression
thincssc ThinCat ⊆ Cat

Proof of Theorem thincssc
StepHypRef Expression
1 thincc 48002 . 2 (𝑐 ∈ ThinCat → 𝑐 ∈ Cat)
21ssriv 3982 1 ThinCat ⊆ Cat
Colors of variables: wff setvar class
Syntax hints:  wss 3944  Catccat 17637  ThinCatcthinc 47997
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1790  ax-4 1804  ax-5 1906  ax-6 1964  ax-7 2004  ax-8 2101  ax-9 2109  ax-ext 2698  ax-nul 5300
This theorem depends on definitions:  df-bi 206  df-an 396  df-or 847  df-3an 1087  df-tru 1537  df-fal 1547  df-ex 1775  df-sb 2061  df-mo 2529  df-clab 2705  df-cleq 2719  df-clel 2805  df-ne 2936  df-ral 3057  df-rex 3066  df-rab 3428  df-v 3471  df-sbc 3775  df-dif 3947  df-un 3949  df-in 3951  df-ss 3961  df-nul 4319  df-if 4525  df-sn 4625  df-pr 4627  df-op 4631  df-uni 4904  df-br 5143  df-iota 6494  df-fv 6550  df-ov 7417  df-thinc 47998
This theorem is referenced by: (None)
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