Theorem eelT

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

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

Proof

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