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

Axiom ax-bdan 14707
Description: The conjunction of two bounded formulas is bounded. (Contributed by BJ, 25-Sep-2019.)
Hypotheses
Ref Expression
bdim.1  |- BOUNDED  ph
bdim.2  |- BOUNDED  ps
Assertion
Ref Expression
ax-bdan  |- BOUNDED  ( ph  /\  ps )

Detailed syntax breakdown of Axiom ax-bdan
StepHypRef Expression
1 wph . . 3  wff  ph
2 wps . . 3  wff  ps
31, 2wa 104 . 2  wff  ( ph  /\ 
ps )
43wbd 14704 1  wff BOUNDED  ( ph  /\  ps )
Colors of variables: wff set class
This axiom is referenced by:  bdbi  14718  bd3an  14722  bdxor  14728  bdcrab  14744  bdreu  14747  bdcdif  14753  bdcin  14755  bdvsn  14766  bdop  14767  bdeqsuc  14773  bj-bdind  14822
  Copyright terms: Public domain W3C validator