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

Axiom ax-0lt1 7855
Description: 0 is less than 1. Axiom for real and complex numbers, justified by Theorem ax0lt1 7813. Proofs should normally use 0lt1 8021 instead. (New usage is discouraged.) (Contributed by Jim Kingdon, 12-Jan-2020.)
Assertion
Ref Expression
ax-0lt1 0 < 1

Detailed syntax breakdown of Axiom ax-0lt1
StepHypRef Expression
1 cc0 7749 . 2 class 0
2 c1 7750 . 2 class 1
3 cltrr 7753 . 2 class <
41, 2, 3wbr 3981 1 wff 0 < 1
Colors of variables: wff set class
This axiom is referenced by:  0lt1  8021
  Copyright terms: Public domain W3C validator