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SUPPLEMENTARY MATERIAL (USERS' MATHBOXES)
Mathbox for Steven Nguyen
Utility theorems
leex
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Metamath Proof Explorer
Ascii
Structured
Theorem
leex
Description:
The less-than-or-equal-to relation is a set.
(Contributed by
SN
, 5-Jun-2025)
Ref
Expression
Assertion
leex
⊢
≤ ∈ V
Proof
Step
Hyp
Ref
Expression
1
xrex
⊢
ℝ
*
∈ V
2
1
1
xpex
⊢
( ℝ
*
× ℝ
*
) ∈ V
3
lerelxr
⊢
≤ ⊆ ( ℝ
*
× ℝ
*
)
4
2
3
ssexi
⊢
≤ ∈ V