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Mirrors > Home > MPE Home > Th. List > brstruct | Structured version Visualization version Unicode version |
Description: The structure relation is a relation. (Contributed by Mario Carneiro, 29-Aug-2015.) |
Ref | Expression |
---|---|
brstruct | Struct |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-struct 15859 | . 2 Struct | |
2 | 1 | relopabi 5245 | 1 Struct |
Colors of variables: wff setvar class |
Syntax hints: w3a 1037 wcel 1990 cdif 3571 cin 3573 wss 3574 c0 3915 csn 4177 cxp 5112 cdm 5114 wrel 5119 wfun 5882 cfv 5888 cle 10075 cn 11020 cfz 12326 Struct cstr 15853 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-9 1999 ax-10 2019 ax-11 2034 ax-12 2047 ax-13 2246 ax-ext 2602 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-3an 1039 df-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-clab 2609 df-cleq 2615 df-clel 2618 df-nfc 2753 df-rab 2921 df-v 3202 df-dif 3577 df-un 3579 df-in 3581 df-ss 3588 df-nul 3916 df-if 4087 df-sn 4178 df-pr 4180 df-op 4184 df-opab 4713 df-xp 5120 df-rel 5121 df-struct 15859 |
This theorem is referenced by: isstruct2 15867 structex 15868 |
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