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Mirrors > Home > MPE Home > Th. List > difexi | Structured version Visualization version Unicode version |
Description: Existence of a difference, inference version of difexg 4808. (Contributed by Glauco Siliprandi, 3-Mar-2021.) (Revised by AV, 26-Mar-2021.) |
Ref | Expression |
---|---|
difexi.1 |
Ref | Expression |
---|---|
difexi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | difexi.1 | . 2 | |
2 | difexg 4808 | . 2 | |
3 | 1, 2 | ax-mp 5 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wcel 1990 cvv 3200 cdif 3571 |
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 ax-sep 4781 |
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-v 3202 df-dif 3577 df-in 3581 df-ss 3588 |
This theorem is referenced by: marypha1lem 8339 inf3lem3 8527 kmlem11 8982 kmlem12 8983 opfi1uzind 13283 uhgrspan1lem1 26192 upgrres1lem1 26201 nbgrval 26234 vtxdginducedm1lem1 26435 vtxdginducedm1fi 26440 finsumvtxdg2ssteplem4 26444 setindtr 37591 ssdifcl 37876 clsk3nimkb 38338 meaiuninclem 40697 meaiininclem 40700 |
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