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