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Definition df-intop 41624
Description: Function mapping a set to the class of all internal (binary) operations for this set. (Contributed by AV, 20-Jan-2020.)
Assertion
Ref Expression
df-intop intOp = (𝑚 ∈ V, 𝑛 ∈ V ↦ (𝑛𝑚 (𝑚 × 𝑚)))
Distinct variable group:   𝑚,𝑛

Detailed syntax breakdown of Definition df-intop
StepHypRef Expression
1 cintop 41621 . 2 class intOp
2 vm . . 3 setvar 𝑚
3 vn . . 3 setvar 𝑛
4 cvv 3169 . . 3 class V
53cv 1473 . . . 4 class 𝑛
62cv 1473 . . . . 5 class 𝑚
76, 6cxp 5023 . . . 4 class (𝑚 × 𝑚)
8 cmap 7718 . . . 4 class 𝑚
95, 7, 8co 6524 . . 3 class (𝑛𝑚 (𝑚 × 𝑚))
102, 3, 4, 4, 9cmpt2 6526 . 2 class (𝑚 ∈ V, 𝑛 ∈ V ↦ (𝑛𝑚 (𝑚 × 𝑚)))
111, 10wceq 1474 1 wff intOp = (𝑚 ∈ V, 𝑛 ∈ V ↦ (𝑛𝑚 (𝑚 × 𝑚)))
Colors of variables: wff setvar class
This definition is referenced by:  intopval  41627  intop  41628
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