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Metamath Proof Explorer

Theorem pleid

Description: Utility theorem: self-referencing, index-independent form of df-ple . (Contributed by NM, 9-Nov-2012) (Revised by AV, 9-Sep-2021)

		Ref	Expression
	Assertion	pleid	$⊢ le = Slot \leq_{ndx}$

Step	Hyp	Ref	Expression
1		df-ple	$⊢ le = Slot 10$
2		10nn	$⊢ 10 \in ℕ$
3	1 2	ndxid	$⊢ le = Slot \leq_{ndx}$