Database
CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Logical conjunction
simprl
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simprld
Metamath Proof Explorer
Ascii
Unicode
Theorem
simprl
Description:
Simplification of a conjunction.
(Contributed by
NM
, 21-Mar-2007)
Ref
Expression
Assertion
simprl
⊢
φ
∧
ψ
∧
χ
→
ψ
Proof
Step
Hyp
Ref
Expression
1
id
⊢
ψ
→
ψ
2
1
ad2antrl
⊢
φ
∧
ψ
∧
χ
→
ψ