Database
SUPPLEMENTARY MATERIAL (USERS' MATHBOXES)
Mathbox for Peter Mazsa
Subset relations
relssr
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brssr
Metamath Proof Explorer
Ascii
Structured
Theorem
relssr
Description:
The subset relation is a relation.
(Contributed by
Peter Mazsa
, 1-Aug-2019)
Ref
Expression
Assertion
relssr
⊢
Rel S
Proof
Step
Hyp
Ref
Expression
1
df-ssr
⊢
S = { 〈
𝑥
,
𝑦
〉 ∣
𝑥
⊆
𝑦
}
2
1
relopabiv
⊢
Rel S