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Definition df-old 34032
Description: Define the older than function. This function carries an ordinal to all surreals made by a previous ordinal. Definition from [Conway] p. 29. (Contributed by Scott Fenton, 17-Dec-2021.)
Assertion
Ref Expression
df-old O = (𝑥 ∈ On ↦ ( M “ 𝑥))

Detailed syntax breakdown of Definition df-old
StepHypRef Expression
1 cold 34027 . 2 class O
2 vx . . 3 setvar 𝑥
3 con0 6266 . . 3 class On
4 cmade 34026 . . . . 5 class M
52cv 1538 . . . . 5 class 𝑥
64, 5cima 5592 . . . 4 class ( M “ 𝑥)
76cuni 4839 . . 3 class ( M “ 𝑥)
82, 3, 7cmpt 5157 . 2 class (𝑥 ∈ On ↦ ( M “ 𝑥))
91, 8wceq 1539 1 wff O = (𝑥 ∈ On ↦ ( M “ 𝑥))
Colors of variables: wff setvar class
This definition is referenced by:  oldval  34038  oldf  34041
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