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Metamath Proof Explorer

Theorem leidd

Description: 'Less than or equal to' is reflexive. (Contributed by Mario Carneiro, 27-May-2016)

		Ref	Expression
	Hypothesis	leidd.1	$⊢ φ \to A \in ℝ$
	Assertion	leidd	$⊢ φ \to A \leq A$

Step	Hyp	Ref	Expression
1		leidd.1	$⊢ φ \to A \in ℝ$
2		leid	$⊢ A \in ℝ \to A \leq A$
3	1 2	syl	$⊢ φ \to A \leq A$