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 𝜑
1 0 cprvb Prv 𝜑
2 1 cprvb Prv Prv 𝜑
3 1 2 wi ( Prv 𝜑 → Prv Prv 𝜑 )