Description: A special case of sbequ1 . (Contributed by BJ, 22-Dec-2020)
Ref | Expression | ||
---|---|---|---|
Assertion | bj-ssbid1 | ⊢ ( 𝜑 → [ 𝑥 / 𝑥 ] 𝜑 ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | equid | ⊢ 𝑥 = 𝑥 | |
2 | sbequ1 | ⊢ ( 𝑥 = 𝑥 → ( 𝜑 → [ 𝑥 / 𝑥 ] 𝜑 ) ) | |
3 | 1 2 | ax-mp | ⊢ ( 𝜑 → [ 𝑥 / 𝑥 ] 𝜑 ) |