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Definition df-tskm 9852
Description: A function that maps a set 𝑥 to the smallest Tarski class that contains the set. (Contributed by FL, 30-Dec-2010.)
Assertion
Ref Expression
df-tskm tarskiMap = (𝑥 ∈ V ↦ {𝑦 ∈ Tarski ∣ 𝑥𝑦})
Distinct variable group:   𝑥,𝑦

Detailed syntax breakdown of Definition df-tskm
StepHypRef Expression
1 ctskm 9851 . 2 class tarskiMap
2 vx . . 3 setvar 𝑥
3 cvv 3340 . . 3 class V
4 vy . . . . . 6 setvar 𝑦
52, 4wel 2140 . . . . 5 wff 𝑥𝑦
6 ctsk 9762 . . . . 5 class Tarski
75, 4, 6crab 3054 . . . 4 class {𝑦 ∈ Tarski ∣ 𝑥𝑦}
87cint 4627 . . 3 class {𝑦 ∈ Tarski ∣ 𝑥𝑦}
92, 3, 8cmpt 4881 . 2 class (𝑥 ∈ V ↦ {𝑦 ∈ Tarski ∣ 𝑥𝑦})
101, 9wceq 1632 1 wff tarskiMap = (𝑥 ∈ V ↦ {𝑦 ∈ Tarski ∣ 𝑥𝑦})
Colors of variables: wff setvar class
This definition is referenced by:  tskmval  9853
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