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Metamath Proof Explorer

Theorem enref

Description: Equinumerosity is reflexive. Theorem 1 of Suppes p. 92. (Contributed by NM, 25-Sep-2004)

Ref Expression
Hypothesis enref.1 ⊢ 𝐴 ∈ V
Assertion enref 𝐴 ≈ 𝐴

Proof

Step Hyp Ref Expression
1 enref.1 ⊢ 𝐴 ∈ V
2 enrefg ⊢ ( 𝐴 ∈ V → 𝐴 ≈ 𝐴 )
3 1 2 ax-mp ⊢ 𝐴 ≈ 𝐴