Database
SUPPLEMENTARY MATERIAL (USERS' MATHBOXES)
Mathbox for BJ
Propositional calculus
Implication and negation
bj-nimni
Next ⟩
bj-peircei
Metamath Proof Explorer
Ascii
Unicode
Theorem
bj-nimni
Description:
Inference associated with
bj-nimn
.
(Contributed by
BJ
, 19-Mar-2020)
Ref
Expression
Hypothesis
bj-nimni.1
⊢
φ
Assertion
bj-nimni
⊢
¬
φ
→
¬
φ
Proof
Step
Hyp
Ref
Expression
1
bj-nimni.1
⊢
φ
2
bj-nimn
⊢
φ
→
¬
φ
→
¬
φ
3
1
2
ax-mp
⊢
¬
φ
→
¬
φ