Database
SUPPLEMENTARY MATERIAL (USERS' MATHBOXES)
Mathbox for BJ
First-order logic
Adding ax-12
bj-19.23bit
Next ⟩
bj-nexrt
Metamath Proof Explorer
Ascii
Structured
Theorem
bj-19.23bit
Description:
Closed form of
19.23bi
.
(Contributed by
BJ
, 20-Oct-2019)
Ref
Expression
Assertion
bj-19.23bit
⊢
( ( ∃
𝑥
𝜑
→
𝜓
) → (
𝜑
→
𝜓
) )
Proof
Step
Hyp
Ref
Expression
1
19.8a
⊢
(
𝜑
→ ∃
𝑥
𝜑
)
2
1
imim1i
⊢
( ( ∃
𝑥
𝜑
→
𝜓
) → (
𝜑
→
𝜓
) )