Database
SUPPLEMENTARY MATERIAL (USERS' MATHBOXES)
Mathbox for BJ
First-order logic
Adding ax-12
bj-nexrt
Next ⟩
bj-alrim
Metamath Proof Explorer
Ascii
Unicode
Theorem
bj-nexrt
Description:
Closed form of
nexr
. Contrapositive of
19.8a
.
(Contributed by
BJ
, 20-Oct-2019)
Ref
Expression
Assertion
bj-nexrt
⊢
¬
∃
x
φ
→
¬
φ
Proof
Step
Hyp
Ref
Expression
1
19.8a
⊢
φ
→
∃
x
φ
2
1
con3i
⊢
¬
∃
x
φ
→
¬
φ