Database
CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Logical conjunction
expr
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expl
Metamath Proof Explorer
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Unicode
Theorem
expr
Description:
Export a wff from a right conjunct.
(Contributed by
Jeff Hankins
, 30-Aug-2009)
Ref
Expression
Hypothesis
expr.1
⊢
φ
∧
ψ
∧
χ
→
θ
Assertion
expr
⊢
φ
∧
ψ
→
χ
→
θ
Proof
Step
Hyp
Ref
Expression
1
expr.1
⊢
φ
∧
ψ
∧
χ
→
θ
2
1
exp32
⊢
φ
→
ψ
→
χ
→
θ
3
2
imp
⊢
φ
∧
ψ
→
χ
→
θ