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truconj
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Metamath Proof Explorer
Ascii
Structured
Theorem
truconj
Description:
Add true as a conjunct.
(Contributed by
Giovanni Mascellani
, 23-May-2019)
Ref
Expression
Assertion
truconj
⊢
(
𝜑
↔ ( ⊤ ∧
𝜑
) )
Proof
Step
Hyp
Ref
Expression
1
truan
⊢
( ( ⊤ ∧
𝜑
) ↔
𝜑
)
2
1
bicomi
⊢
(
𝜑
↔ ( ⊤ ∧
𝜑
) )