Theorem endom

Description: Equinumerosity implies dominance. Theorem 15 of Suppes p. 94. (Contributed by NM, 28-May-1998)

	Ref	Expression
Assertion	endom	⊢ ( 𝐴 ≈ 𝐵 → 𝐴 ≼ 𝐵 )

Proof

Step	Hyp	Ref	Expression
1		enssdom	⊢ ≈ ⊆ ≼
2	1	ssbri	⊢ ( 𝐴 ≈ 𝐵 → 𝐴 ≼ 𝐵 )