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Definition df-old 33182
Description: Define the older than function. This function carries an ordinal to all surreals made by a previous ordinal. (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 33177 . 2 class O
2 vx . . 3 setvar 𝑥
3 con0 6184 . . 3 class On
4 cmade 33176 . . . . 5 class M
52cv 1527 . . . . 5 class 𝑥
64, 5cima 5551 . . . 4 class ( M “ 𝑥)
76cuni 4830 . . 3 class ( M “ 𝑥)
82, 3, 7cmpt 5137 . 2 class (𝑥 ∈ On ↦ ( M “ 𝑥))
91, 8wceq 1528 1 wff O = (𝑥 ∈ On ↦ ( M “ 𝑥))
Colors of variables: wff setvar class
This definition is referenced by: (None)
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