Database
CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Logical implication
com3r
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com13
Metamath Proof Explorer
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Theorem
com3r
Description:
Commutation of antecedents. Rotate right.
(Contributed by
NM
, 25-Apr-1994)
Ref
Expression
Hypothesis
com3.1
⊢
φ
→
ψ
→
χ
→
θ
Assertion
com3r
⊢
χ
→
φ
→
ψ
→
θ
Proof
Step
Hyp
Ref
Expression
1
com3.1
⊢
φ
→
ψ
→
χ
→
θ
2
1
com23
⊢
φ
→
χ
→
ψ
→
θ
3
2
com12
⊢
χ
→
φ
→
ψ
→
θ