Description: Inference from commutative law for class equality. (Contributed by NM, 26-May-1993)
Ref | Expression | ||
---|---|---|---|
Hypothesis | eqcomi.1 | ⊢ 𝐴 = 𝐵 | |
Assertion | eqcomi | ⊢ 𝐵 = 𝐴 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqcomi.1 | ⊢ 𝐴 = 𝐵 | |
2 | eqcom | ⊢ ( 𝐴 = 𝐵 ↔ 𝐵 = 𝐴 ) | |
3 | 1 2 | mpbi | ⊢ 𝐵 = 𝐴 |