Theorem eel0cT 45510

Description: An elimination deduction. (Contributed by Alan Sare, 4-Feb-2017.) (Proof modification is discouraged.) (New usage is discouraged.)

Hypotheses

Ref	Expression
eel0cT.1	⊢ 𝜑
eel0cT.2	⊢ (𝜑 → 𝜓)

Assertion

Ref	Expression
eel0cT	⊢ (⊤ → 𝜓)

Proof of Theorem eel0cT

Step	Hyp	Ref	Expression
1		eel0cT.1	. . 3 ⊢ 𝜑
2		eel0cT.2	. . 3 ⊢ (𝜑 → 𝜓)
3	1, 2	ax-mp 5	. 2 ⊢ 𝜓
4	3	a1i 11	1 ⊢ (⊤ → 𝜓)

This proof depends on syntax axioms:   → wi 4  ⊤wtru 1570

This proof depends on axioms:  ax-mp 5  ax-1 6

This theorem is used by: (None)