Users' Mathboxes Mathbox for BJ < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >   Mathboxes  >  ax-bdor GIF version

Axiom ax-bdor 11176
Description: The disjunction of two bounded formulas is bounded. (Contributed by BJ, 25-Sep-2019.)
Hypotheses
Ref Expression
bdim.1 BOUNDED 𝜑
bdim.2 BOUNDED 𝜓
Assertion
Ref Expression
ax-bdor BOUNDED (𝜑𝜓)

Detailed syntax breakdown of Axiom ax-bdor
StepHypRef Expression
1 wph . . 3 wff 𝜑
2 wps . . 3 wff 𝜓
31, 2wo 662 . 2 wff (𝜑𝜓)
43wbd 11172 1 wff BOUNDED (𝜑𝜓)
Colors of variables: wff set class
This axiom is referenced by:  bddc  11188  bd3or  11189  bdxor  11196  bdcun  11222  bdop  11235  bj-zfpair2  11270  bj-nn0suc0  11314
  Copyright terms: Public domain W3C validator