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Mirrors > Home > NFE Home > Th. List > df-dm | GIF version |
Description: Define the domain of a class. The notation "dom " is used by Enderton; other authors sometimes use script D. (Contributed by SF, 5-Jan-2015.) |
Ref | Expression |
---|---|
df-dm | ⊢ dom A = ran ◡A |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA | . . 3 class A | |
2 | 1 | cdm 4773 | . 2 class dom A |
3 | 1 | ccnv 4772 | . . 3 class ◡A |
4 | 3 | crn 4774 | . 2 class ran ◡A |
5 | 2, 4 | wceq 1642 | 1 wff dom A = ran ◡A |
Colors of variables: wff setvar class |
This definition is referenced by: eldm 4899 nfdm 4965 rncoeq 4976 cnvimass 5017 cnvimarndm 5018 dminxp 5062 dmco 5090 cores2 5092 dmexg 5106 funimacnv 5169 foimacnv 5304 f1ococnv2 5310 fimacnv 5412 enprmaplem6 6082 |
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