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Axiom ax-1rid 6770
Description: 1 is an identity element for real multiplication. Axiom for real and complex numbers, justified by theorem ax1rid 6741. (Contributed by NM, 29-Jan-1995.)
Assertion
Ref Expression
ax-1rid (A ℝ → (A · 1) = A)

Detailed syntax breakdown of Axiom ax-1rid
StepHypRef Expression
1 cA . . 3 class A
2 cr 6690 . . 3 class
31, 2wcel 1390 . 2 wff A
4 c1 6692 . . . 4 class 1
5 cmul 6696 . . . 4 class ·
61, 4, 5co 5455 . . 3 class (A · 1)
76, 1wceq 1242 . 2 wff (A · 1) = A
83, 7wi 4 1 wff (A ℝ → (A · 1) = A)
Colors of variables: wff set class
This axiom is referenced by:  mulid1  6802  mulgt1  7590  ltmulgt11  7591  lemulge11  7593  addltmul  7918
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