Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > invdif | Structured version Visualization version Unicode version |
Description: Intersection with universal complement. Remark in [Stoll] p. 20. (Contributed by NM, 17-Aug-2004.) |
Ref | Expression |
---|---|
invdif |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfin2 3860 | . 2 | |
2 | ddif 3742 | . . 3 | |
3 | 2 | difeq2i 3725 | . 2 |
4 | 1, 3 | eqtri 2644 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wceq 1483 cvv 3200 cdif 3571 cin 3573 |
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-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-clab 2609 df-cleq 2615 df-clel 2618 df-nfc 2753 df-ral 2917 df-rab 2921 df-v 3202 df-dif 3577 df-in 3581 |
This theorem is referenced by: indif2 3870 difundi 3879 difundir 3880 difindi 3881 difindir 3882 difdif2 3884 difun1 3887 undif1 4043 difdifdir 4056 frnsuppeq 7307 dfsup2 8350 fsets 15891 setsdm 15892 |
Copyright terms: Public domain | W3C validator |