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Metamath Proof Explorer

Theorem ensymi

Description: Symmetry of equinumerosity. Theorem 2 of Suppes p. 92. (Contributed by NM, 25-Sep-2004)

Ref Expression
Hypothesis ensymi.2 ⊢ 𝐴 ≈ 𝐵
Assertion ensymi 𝐵 ≈ 𝐴

Proof

Step Hyp Ref Expression
1 ensymi.2 ⊢ 𝐴 ≈ 𝐵
2 ensym ⊢ ( 𝐴 ≈ 𝐵 → 𝐵 ≈ 𝐴 )
3 1 2 ax-mp ⊢ 𝐵 ≈ 𝐴