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CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Logical conjunction
pm4.24
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Metamath Proof Explorer
Ascii
Structured
Theorem
pm4.24
Description:
Theorem *4.24 of
WhiteheadRussell
p. 117.
(Contributed by
NM
, 11-May-1993)
Ref
Expression
Assertion
pm4.24
⊢
(
𝜑
↔ (
𝜑
∧
𝜑
) )
Proof
Step
Hyp
Ref
Expression
1
id
⊢
(
𝜑
→
𝜑
)
2
1
pm4.71i
⊢
(
𝜑
↔ (
𝜑
∧
𝜑
) )