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 PrvφPrvPrvφ

Detailed syntax breakdown

Step Hyp Ref Expression
0 wph wffφ
1 0 cprvb wffPrvφ
2 1 cprvb wffPrvPrvφ
3 1 2 wi wffPrvφPrvPrvφ