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CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Abbreviated conjunction and disjunction of three wff's
simp1lr
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simp1rl
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Theorem
simp1lr
Description:
Simplification of conjunction.
(Contributed by
NM
, 9-Mar-2012)
Ref
Expression
Assertion
simp1lr
⊢
φ
∧
ψ
∧
χ
∧
θ
∧
τ
→
ψ
Proof
Step
Hyp
Ref
Expression
1
simplr
⊢
φ
∧
ψ
∧
χ
→
ψ
2
1
3ad2ant1
⊢
φ
∧
ψ
∧
χ
∧
θ
∧
τ
→
ψ