Database
SUPPLEMENTARY MATERIAL (USERS' MATHBOXES)
Mathbox for BJ
Provability logic
ax-prv3
Next ⟩
prvlem1
Metamath Proof Explorer
Ascii
Unicode
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