Theorem truimtru 1458

Description: A → identity. (Contributed by Anthony Hart, 22-Oct-2010.)

Assertion

Ref	Expression
truimtru	⊢ ((⊤ → ⊤) ↔ ⊤)

Proof of Theorem truimtru

Step	Hyp	Ref	Expression
1		id 19	. 2 ⊢ (⊤ → ⊤)
2	1	bitru 1414	1 ⊢ ((⊤ → ⊤) ↔ ⊤)

This proof depends on syntax axioms:   → wi 4   ↔ wb 105  ⊤wtru 1403

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108

This proof depends on definitions:  df-bi 117  df-tru 1405

This theorem is used by: (None)