ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  ax-0lt1 Unicode version

Axiom ax-0lt1 7880
Description: 0 is less than 1. Axiom for real and complex numbers, justified by Theorem ax0lt1 7838. Proofs should normally use 0lt1 8046 instead. (New usage is discouraged.) (Contributed by Jim Kingdon, 12-Jan-2020.)
Assertion
Ref Expression
ax-0lt1  |-  0  <RR  1

Detailed syntax breakdown of Axiom ax-0lt1
StepHypRef Expression
1 cc0 7774 . 2  class  0
2 c1 7775 . 2  class  1
3 cltrr 7778 . 2  class  <RR
41, 2, 3wbr 3989 1  wff  0  <RR  1
Colors of variables: wff set class
This axiom is referenced by:  0lt1  8046
  Copyright terms: Public domain W3C validator