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

Axiom ax-bdsb 9257
Description: A formula resulting from proper substitution in a bounded formula is bounded. This probably cannot be proved from the other axioms, since neither the definiens in df-sb 1643, nor probably any other equivalent formula, is syntactically bounded. (Contributed by BJ, 3-Oct-2019.)
Hypothesis
Ref Expression
bdsb.1 BOUNDED
Assertion
Ref Expression
ax-bdsb BOUNDED

Detailed syntax breakdown of Axiom ax-bdsb
StepHypRef Expression
1 wph . . 3
2 vx . . 3  setvar
3 vy . . 3  setvar
41, 2, 3wsb 1642 . 2
54wbd 9247 1 BOUNDED
Colors of variables: wff set class
This axiom is referenced by:  bdab  9273  bdph  9285  bdsbc  9293  bdcriota  9318
  Copyright terms: Public domain W3C validator