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CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Logical disjunction
pm4.25
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pm2.4
Metamath Proof Explorer
Ascii
Structured
Theorem
pm4.25
Description:
Theorem *4.25 of
WhiteheadRussell
p. 117.
(Contributed by
NM
, 3-Jan-2005)
Ref
Expression
Assertion
pm4.25
⊢
(
𝜑
↔ (
𝜑
∨
𝜑
) )
Proof
Step
Hyp
Ref
Expression
1
oridm
⊢
( (
𝜑
∨
𝜑
) ↔
𝜑
)
2
1
bicomi
⊢
(
𝜑
↔ (
𝜑
∨
𝜑
) )