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Axiom ax-pre-ltadd 9304
Description: Ordering property of addition on reals. Axiom 20 of 22 for real and complex numbers, justified by theorem axpre-ltadd 9280. Normally new proofs would use axltadd 9394. (New usage is discouraged.) (Contributed by NM, 13-Oct-2005.)
Assertion
Ref Expression
ax-pre-ltadd

Detailed syntax breakdown of Axiom ax-pre-ltadd
StepHypRef Expression
1 cA . . . 4
2 cr 9227 . . . 4
31, 2wcel 1749 . . 3
4 cB . . . 4
54, 2wcel 1749 . . 3
6 cC . . . 4
76, 2wcel 1749 . . 3
83, 5, 7w3a 950 . 2
9 cltrr 9232 . . . 4
101, 4, 9wbr 4267 . . 3
11 caddc 9231 . . . . 5
126, 1, 11co 6061 . . . 4
136, 4, 11co 6061 . . . 4
1412, 13, 9wbr 4267 . . 3
1510, 14wi 4 . 2
168, 15wi 4 1
Colors of variables: wff setvar class
This axiom is referenced by:  axltadd  9394
  Copyright terms: Public domain W3C validator