Metamath Proof Explorer


Theorem uunTT1

Description: A deduction unionizing a non-unionized collection of virtual hypotheses. (Contributed by Alan Sare, 4-Feb-2017) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Hypothesis uunTT1.1 φψ
Assertion uunTT1 φψ

Proof

Step Hyp Ref Expression
1 uunTT1.1 φψ
2 3anass φφ
3 anabs5 φφ
4 truan φφ
5 2 3 4 3bitri φφ
6 5 1 sylbir φψ