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SUPPLEMENTARY MATERIAL (USERS' MATHBOXES)
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First-order logic
Adding ax-12
bj-19.23bit
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Metamath Proof Explorer
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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