Database
CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Logical conjunction
simprr
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simprrd
Metamath Proof Explorer
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Unicode
Theorem
simprr
Description:
Simplification of a conjunction.
(Contributed by
NM
, 21-Mar-2007)
Ref
Expression
Assertion
simprr
⊢
φ
∧
ψ
∧
χ
→
χ
Proof
Step
Hyp
Ref
Expression
1
id
⊢
χ
→
χ
2
1
ad2antll
⊢
φ
∧
ψ
∧
χ
→
χ