Theorem retbwax4 1723

Description: tbw-ax4 1711 rederived from merco1 1721. (Contributed by Anthony Hart, 17-Sep-2011.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion

Ref	Expression
retbwax4	⊢ (⊥ → 𝜑)

Proof of Theorem retbwax4

Step	Hyp	Ref	Expression
1		merco1lem1 1722	. 2 ⊢ (𝜑 → (⊥ → 𝜑))
2		merco1lem1 1722	. 2 ⊢ ((𝜑 → (⊥ → 𝜑)) → (⊥ → 𝜑))
3	1, 2	ax-mp 5	1 ⊢ (⊥ → 𝜑)

Syntax hints:   → wi 4  ⊥wfal 1555

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 210  df-tru 1546  df-fal 1556

This theorem is referenced by: (None)