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Mathbox for Richard Penner
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Additional work on conditional logical operator
ifpbiidcor2
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ifpnot23c
Metamath Proof Explorer
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Theorem
ifpbiidcor2
Description:
Restatement of
biid
.
(Contributed by
RP
, 25-Apr-2020)
Ref
Expression
Assertion
ifpbiidcor2
⊢
¬
if-
φ
¬
φ
φ
Proof
Step
Hyp
Ref
Expression
1
ifpbiidcor
⊢
if-
φ
φ
¬
φ
2
ifpnot23b
⊢
¬
if-
φ
¬
φ
φ
↔
if-
φ
φ
¬
φ
3
1
2
mpbir
⊢
¬
if-
φ
¬
φ
φ