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Theorem relssr 36893
Description: The subset relation is a relation. (Contributed by Peter Mazsa, 1-Aug-2019.)
Assertion
Ref Expression
relssr Rel S

Proof of Theorem relssr
Dummy variables 𝑥 𝑦 are mutually distinct and distinct from all other variables.
StepHypRef Expression
1 df-ssr 36891 . 2 S = {⟨𝑥, 𝑦⟩ ∣ 𝑥𝑦}
21relopabiv 5773 1 Rel S
Colors of variables: wff setvar class
Syntax hints:  wss 3909  Rel wrel 5636   S cssr 36568
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1798  ax-4 1812  ax-5 1914  ax-6 1972  ax-7 2012  ax-8 2109  ax-9 2117  ax-ext 2709
This theorem depends on definitions:  df-bi 206  df-an 398  df-tru 1545  df-ex 1783  df-sb 2069  df-clab 2716  df-cleq 2730  df-clel 2816  df-v 3446  df-in 3916  df-ss 3926  df-opab 5167  df-xp 5637  df-rel 5638  df-ssr 36891
This theorem is referenced by:  brssr  36894  issetssr  36896  brcnvssr  36899  extssr  36902
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