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Mirrors > Home > ILE Home > Th. List > ax-0id | Unicode version |
Description: is an identity element for real addition. Axiom
for real and
complex numbers, justified by theorem ax0id 7044.
Proofs should normally use addid1 7246 instead. (New usage is discouraged.) (Contributed by Jim Kingdon, 16-Jan-2020.) |
Ref | Expression |
---|---|
ax-0id |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA | . . 3 | |
2 | cc 6979 | . . 3 | |
3 | 1, 2 | wcel 1433 | . 2 |
4 | cc0 6981 | . . . 4 | |
5 | caddc 6984 | . . . 4 | |
6 | 1, 4, 5 | co 5532 | . . 3 |
7 | 6, 1 | wceq 1284 | . 2 |
8 | 3, 7 | wi 4 | 1 |
Colors of variables: wff set class |
This axiom is referenced by: addid1 7246 |
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