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CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Logical conjunction
pm3.41
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pm3.42
Metamath Proof Explorer
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Theorem
pm3.41
Description:
Theorem *3.41 of
WhiteheadRussell
p. 113.
(Contributed by
NM
, 3-Jan-2005)
Ref
Expression
Assertion
pm3.41
⊢
φ
→
χ
→
φ
∧
ψ
→
χ
Proof
Step
Hyp
Ref
Expression
1
simpl
⊢
φ
∧
ψ
→
φ
2
1
imim1i
⊢
φ
→
χ
→
φ
∧
ψ
→
χ