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Metamath Proof Explorer

Theorem xrleidd

Description: 'Less than or equal to' is reflexive for extended reals. Deduction form of xrleid . (Contributed by Glauco Siliprandi, 26-Jun-2021)

		Ref	Expression
	Hypothesis	xrleidd.1	$⊢ φ \to A \in ℝ^{*}$
	Assertion	xrleidd	$⊢ φ \to A \leq A$

Step	Hyp	Ref	Expression
1		xrleidd.1	$⊢ φ \to A \in ℝ^{*}$
2		xrleid	$⊢ A \in ℝ^{*} \to A \leq A$
3	1 2	syl	$⊢ φ \to A \leq A$