Theorem eelT 42282

Description: An elimination deduction. (Contributed by Alan Sare, 5-Feb-2017.) (Proof modification is discouraged.) (New usage is discouraged.)

Hypotheses

Ref	Expression
eelT.1	⊢ (⊤ → 𝜑)
eelT.2	⊢ (𝜑 → 𝜓)

Assertion

Ref	Expression
eelT	⊢ 𝜓

Proof of Theorem eelT

Step	Hyp	Ref	Expression
1		eelT.1	. . 3 ⊢ (⊤ → 𝜑)
2		eelT.2	. . 3 ⊢ (𝜑 → 𝜓)
3	1, 2	syl 17	. 2 ⊢ (⊤ → 𝜓)
4	3	mptru 1546	1 ⊢ 𝜓

Syntax hints:   → wi 4  ⊤wtru 1540

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 206  df-tru 1542

This theorem is referenced by: (None)