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Mirrors > Home > MPE Home > Th. List > Mathboxes > df-mgmOLD | Structured version Visualization version GIF version |
Description: Obsolete version of df-mgm 18324 as of 3-Feb-2020. A magma is a binary internal operation. (Contributed by FL, 2-Nov-2009.) (New usage is discouraged.) |
Ref | Expression |
---|---|
df-mgmOLD | ⊢ Magma = {𝑔 ∣ ∃𝑡 𝑔:(𝑡 × 𝑡)⟶𝑡} |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cmagm 36002 | . 2 class Magma | |
2 | vt | . . . . . . 7 setvar 𝑡 | |
3 | 2 | cv 1541 | . . . . . 6 class 𝑡 |
4 | 3, 3 | cxp 5588 | . . . . 5 class (𝑡 × 𝑡) |
5 | vg | . . . . . 6 setvar 𝑔 | |
6 | 5 | cv 1541 | . . . . 5 class 𝑔 |
7 | 4, 3, 6 | wf 6428 | . . . 4 wff 𝑔:(𝑡 × 𝑡)⟶𝑡 |
8 | 7, 2 | wex 1786 | . . 3 wff ∃𝑡 𝑔:(𝑡 × 𝑡)⟶𝑡 |
9 | 8, 5 | cab 2717 | . 2 class {𝑔 ∣ ∃𝑡 𝑔:(𝑡 × 𝑡)⟶𝑡} |
10 | 1, 9 | wceq 1542 | 1 wff Magma = {𝑔 ∣ ∃𝑡 𝑔:(𝑡 × 𝑡)⟶𝑡} |
Colors of variables: wff setvar class |
This definition is referenced by: ismgmOLD 36004 |
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