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CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Logical disjunction
pm5.14
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pm5.13
Metamath Proof Explorer
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Theorem
pm5.14
Description:
Theorem *5.14 of
WhiteheadRussell
p. 123.
(Contributed by
NM
, 3-Jan-2005)
Ref
Expression
Assertion
pm5.14
⊢
φ
→
ψ
∨
ψ
→
χ
Proof
Step
Hyp
Ref
Expression
1
pm2.521g
⊢
¬
φ
→
ψ
→
ψ
→
χ
2
1
orri
⊢
φ
→
ψ
∨
ψ
→
χ