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Theorem truconj 34228
Description: Add true as a conjunct. (Contributed by Giovanni Mascellani, 23-May-2019.)
Assertion
Ref Expression
truconj (𝜑 ↔ (⊤ ∧ 𝜑))

Proof of Theorem truconj
StepHypRef Expression
1 truan 1648 . 2 ((⊤ ∧ 𝜑) ↔ 𝜑)
21bicomi 214 1 (𝜑 ↔ (⊤ ∧ 𝜑))
Colors of variables: wff setvar class
Syntax hints:  wb 196  wa 382  wtru 1631
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 197  df-an 383  df-tru 1633
This theorem is referenced by: (None)
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