Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > fneq1i | Unicode version |
Description: Equality inference for function predicate with domain. (Contributed by Paul Chapman, 22-Jun-2011.) |
Ref | Expression |
---|---|
fneq1i.1 |
Ref | Expression |
---|---|
fneq1i |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | fneq1i.1 | . 2 | |
2 | fneq1 4987 | . 2 | |
3 | 1, 2 | ax-mp 7 | 1 |
Colors of variables: wff set class |
Syntax hints: wb 98 wceq 1243 wfn 4897 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-3an 887 df-tru 1246 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-v 2559 df-un 2922 df-in 2924 df-ss 2931 df-sn 3381 df-pr 3382 df-op 3384 df-br 3765 df-opab 3819 df-rel 4352 df-cnv 4353 df-co 4354 df-dm 4355 df-fun 4904 df-fn 4905 |
This theorem is referenced by: fnunsn 5006 fnopabg 5022 f1oun 5146 f1oi 5164 f1osn 5166 ovid 5617 tfri1d 5949 frec2uzrand 9191 frec2uzf1od 9192 frecuzrdgrom 9196 frecfzennn 9203 |
Copyright terms: Public domain | W3C validator |