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Theorem relssr 38501
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 38499 . 2 S = {⟨𝑥, 𝑦⟩ ∣ 𝑥𝑦}
21relopabiv 5830 1 Rel S
Colors of variables: wff setvar class
Syntax hints:  wss 3951  Rel wrel 5690   S cssr 38185
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1795  ax-4 1809  ax-5 1910  ax-6 1967  ax-7 2007  ax-8 2110  ax-9 2118  ax-ext 2708
This theorem depends on definitions:  df-bi 207  df-an 396  df-tru 1543  df-ex 1780  df-sb 2065  df-clab 2715  df-cleq 2729  df-clel 2816  df-v 3482  df-ss 3968  df-opab 5206  df-xp 5691  df-rel 5692  df-ssr 38499
This theorem is referenced by:  brssr  38502  issetssr  38504  brcnvssr  38507  extssr  38510
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