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Theorem relssr 38482
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 38480 . 2 S = {⟨𝑥, 𝑦⟩ ∣ 𝑥𝑦}
21relopabiv 5833 1 Rel S
Colors of variables: wff setvar class
Syntax hints:  wss 3963  Rel wrel 5694   S cssr 38165
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
This theorem depends on definitions:  df-bi 207  df-an 396  df-tru 1540  df-ex 1777  df-sb 2063  df-clab 2713  df-cleq 2727  df-clel 2814  df-v 3480  df-ss 3980  df-opab 5211  df-xp 5695  df-rel 5696  df-ssr 38480
This theorem is referenced by:  brssr  38483  issetssr  38485  brcnvssr  38488  extssr  38491
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