Theorem leidd

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

	Ref	Expression
Hypothesis	leidd.1	⊢ ( 𝜑 → 𝐴 ∈ ℝ )
Assertion	leidd	⊢ ( 𝜑 → 𝐴 ≤ 𝐴 )

Proof

Step	Hyp	Ref	Expression
1		leidd.1	⊢ ( 𝜑 → 𝐴 ∈ ℝ )
2		leid	⊢ ( 𝐴 ∈ ℝ → 𝐴 ≤ 𝐴 )
3	1 2	syl	⊢ ( 𝜑 → 𝐴 ≤ 𝐴 )