Description: Generalization of antecedent. (Contributed by NM, 5-Jan-1993) (Proof modification is discouraged.) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypothesis | sps-o.1 | ⊢ ( 𝜑 → 𝜓 ) | |
Assertion | sps-o | ⊢ ( ∀ 𝑥 𝜑 → 𝜓 ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sps-o.1 | ⊢ ( 𝜑 → 𝜓 ) | |
2 | ax-c5 | ⊢ ( ∀ 𝑥 𝜑 → 𝜑 ) | |
3 | 2 1 | syl | ⊢ ( ∀ 𝑥 𝜑 → 𝜓 ) |