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SUPPLEMENTARY MATERIAL (USERS' MATHBOXES)
Mathbox for BJ
First-order logic
Adding ax-12
bj-19.21bit
Next ⟩
bj-19.23bit
Metamath Proof Explorer
Ascii
Structured
Theorem
bj-19.21bit
Description:
Closed form of
19.21bi
.
(Contributed by
BJ
, 20-Oct-2019)
Ref
Expression
Assertion
bj-19.21bit
⊢
( (
𝜑
→ ∀
𝑥
𝜓
) → (
𝜑
→
𝜓
) )
Proof
Step
Hyp
Ref
Expression
1
sp
⊢
( ∀
𝑥
𝜓
→
𝜓
)
2
1
imim2i
⊢
( (
𝜑
→ ∀
𝑥
𝜓
) → (
𝜑
→
𝜓
) )