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Theorem thincssc 48826
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 48824 . 2 (𝑐 ∈ ThinCat → 𝑐 ∈ Cat)
21ssriv 3999 1 ThinCat ⊆ Cat
Colors of variables: wff setvar class
Syntax hints:  wss 3963  Catccat 17709  ThinCatcthinc 48819
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1792  ax-4 1806  ax-5 1908  ax-6 1965  ax-7 2005  ax-8 2108  ax-9 2116  ax-ext 2706  ax-nul 5312
This theorem depends on definitions:  df-bi 207  df-an 396  df-or 848  df-3an 1088  df-tru 1540  df-fal 1550  df-ex 1777  df-sb 2063  df-mo 2538  df-clab 2713  df-cleq 2727  df-clel 2814  df-ne 2939  df-ral 3060  df-rex 3069  df-rab 3434  df-v 3480  df-sbc 3792  df-dif 3966  df-un 3968  df-ss 3980  df-nul 4340  df-if 4532  df-sn 4632  df-pr 4634  df-op 4638  df-uni 4913  df-br 5149  df-iota 6516  df-fv 6571  df-ov 7434  df-thinc 48820
This theorem is referenced by: (None)
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