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Mirrors > Home > ILE Home > Th. List > ax-pre-ltirr | Unicode version |
Description: Real number less-than is irreflexive. Axiom for real and complex numbers, justified by Theorem ax-pre-ltirr 7901. (Contributed by Jim Kingdon, 12-Jan-2020.) |
Ref | Expression |
---|---|
ax-pre-ltirr |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA |
. . 3
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2 | cr 7788 |
. . 3
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3 | 1, 2 | wcel 2148 |
. 2
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4 | cltrr 7793 |
. . . 4
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5 | 1, 1, 4 | wbr 4000 |
. . 3
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6 | 5 | wn 3 |
. 2
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7 | 3, 6 | wi 4 |
1
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Colors of variables: wff set class |
This axiom is referenced by: axltirr 8001 |
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