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Metamath Proof Explorer

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