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CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Abbreviated conjunction and disjunction of three wff's
3coml
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3jca
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Theorem
3coml
Description:
Commutation in antecedent. Rotate left.
(Contributed by
NM
, 28-Jan-1996)
Ref
Expression
Hypothesis
3exp.1
⊢
φ
∧
ψ
∧
χ
→
θ
Assertion
3coml
⊢
ψ
∧
χ
∧
φ
→
θ
Proof
Step
Hyp
Ref
Expression
1
3exp.1
⊢
φ
∧
ψ
∧
χ
→
θ
2
1
3com23
⊢
φ
∧
χ
∧
ψ
→
θ
3
2
3com13
⊢
ψ
∧
χ
∧
φ
→
θ