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CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Logical conjunction
expcomd
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Metamath Proof Explorer
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Theorem
expcomd
Description:
Deduction form of
expcom
.
(Contributed by
Alan Sare
, 22-Jul-2012)
Ref
Expression
Hypothesis
expcomd.1
⊢
φ
→
ψ
∧
χ
→
θ
Assertion
expcomd
⊢
φ
→
χ
→
ψ
→
θ
Proof
Step
Hyp
Ref
Expression
1
expcomd.1
⊢
φ
→
ψ
∧
χ
→
θ
2
1
expd
⊢
φ
→
ψ
→
χ
→
θ
3
2
com23
⊢
φ
→
χ
→
ψ
→
θ