Database
CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Logical disjunction
pm2.621
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pm2.62
Metamath Proof Explorer
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Theorem
pm2.621
Description:
Theorem *2.621 of
WhiteheadRussell
p. 107.
(Contributed by
NM
, 3-Jan-2005)
Ref
Expression
Assertion
pm2.621
⊢
φ
→
ψ
→
φ
∨
ψ
→
ψ
Proof
Step
Hyp
Ref
Expression
1
id
⊢
φ
→
ψ
→
φ
→
ψ
2
idd
⊢
φ
→
ψ
→
ψ
→
ψ
3
1
2
jaod
⊢
φ
→
ψ
→
φ
∨
ψ
→
ψ