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 → 𝐴 ∈ ℝ* )
Assertion	xrleidd	⊢ ( 𝜑 → 𝐴 ≤ 𝐴 )

Proof

Step	Hyp	Ref	Expression
1		xrleidd.1	⊢ ( 𝜑 → 𝐴 ∈ ℝ* )
2		xrleid	⊢ ( 𝐴 ∈ ℝ* → 𝐴 ≤ 𝐴 )
3	1 2	syl	⊢ ( 𝜑 → 𝐴 ≤ 𝐴 )