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CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Logical equivalence
pm5.5
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Metamath Proof Explorer
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Theorem
pm5.5
Description:
Theorem *5.5 of
WhiteheadRussell
p. 125.
(Contributed by
NM
, 3-Jan-2005)
Ref
Expression
Assertion
pm5.5
⊢
φ
→
φ
→
ψ
↔
ψ
Proof
Step
Hyp
Ref
Expression
1
biimt
⊢
φ
→
ψ
↔
φ
→
ψ
2
1
bicomd
⊢
φ
→
φ
→
ψ
↔
ψ