Metamath Proof Explorer


Axiom ax-prv3

Description: Third property of three of the provability predicate. (Contributed by BJ, 3-Apr-2019)

Ref Expression
Assertion ax-prv3 Prv φ Prv Prv φ

Detailed syntax breakdown

Step Hyp Ref Expression
0 wph wff φ
1 0 cprvb wff Prv φ
2 1 cprvb wff Prv Prv φ
3 1 2 wi wff Prv φ Prv Prv φ