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Axiom ax-0id 6751
Description: 0 is an identity element for real addition. Axiom for real and complex numbers, justified by theorem ax0id 6722.

Proofs should normally use addid1 6908 instead. (New usage is discouraged.) (Contributed by Jim Kingdon, 16-Jan-2020.)

Assertion
Ref Expression
ax-0id (A ℂ → (A + 0) = A)

Detailed syntax breakdown of Axiom ax-0id
StepHypRef Expression
1 cA . . 3 class A
2 cc 6669 . . 3 class
31, 2wcel 1390 . 2 wff A
4 cc0 6671 . . . 4 class 0
5 caddc 6674 . . . 4 class +
61, 4, 5co 5455 . . 3 class (A + 0)
76, 1wceq 1242 . 2 wff (A + 0) = A
83, 7wi 4 1 wff (A ℂ → (A + 0) = A)
Colors of variables: wff set class
This axiom is referenced by:  addid1  6908
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