Metamath Proof Explorer


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