Description: "At most one" is still the case when a conjunct is added. (Contributed by NM, 22-Apr-1995)
Ref | Expression | ||
---|---|---|---|
Assertion | moan | ⊢ ( ∃* 𝑥 𝜑 → ∃* 𝑥 ( 𝜓 ∧ 𝜑 ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simpr | ⊢ ( ( 𝜓 ∧ 𝜑 ) → 𝜑 ) | |
2 | 1 | moimi | ⊢ ( ∃* 𝑥 𝜑 → ∃* 𝑥 ( 𝜓 ∧ 𝜑 ) ) |