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Metamath Proof Explorer

Theorem domrefg

Description: Dominance is reflexive. (Contributed by NM, 18-Jun-1998)

		Ref	Expression
	Assertion	domrefg	⊢ ( 𝐴 ∈ 𝑉 → 𝐴 ≼ 𝐴 )

Step	Hyp	Ref	Expression
1		enrefg	⊢ ( 𝐴 ∈ 𝑉 → 𝐴 ≈ 𝐴 )
2		endom	⊢ ( 𝐴 ≈ 𝐴 → 𝐴 ≼ 𝐴 )
3	1 2	syl	⊢ ( 𝐴 ∈ 𝑉 → 𝐴 ≼ 𝐴 )