![]() |
Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > ILE Home > Th. List > feq1i | Unicode version |
Description: Equality inference for functions. (Contributed by Paul Chapman, 22-Jun-2011.) |
Ref | Expression |
---|---|
feq1i.1 |
![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
feq1i |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | feq1i.1 |
. 2
![]() ![]() ![]() ![]() | |
2 | feq1 5363 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
3 | 1, 2 | ax-mp 5 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 710 ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-10 1516 ax-11 1517 ax-i12 1518 ax-bndl 1520 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 ax-ext 2171 |
This theorem depends on definitions: df-bi 117 df-3an 982 df-tru 1367 df-nf 1472 df-sb 1774 df-clab 2176 df-cleq 2182 df-clel 2185 df-nfc 2321 df-v 2754 df-un 3148 df-in 3150 df-ss 3157 df-sn 3613 df-pr 3614 df-op 3616 df-br 4019 df-opab 4080 df-rel 4648 df-cnv 4649 df-co 4650 df-dm 4651 df-rn 4652 df-fun 5233 df-fn 5234 df-f 5235 |
This theorem is referenced by: ftpg 5716 frecfcllem 6423 frecsuclem 6425 omp1eomlem 7111 frecuzrdgrcl 10428 frecuzrdgrclt 10433 fxnn0nninf 10456 resqrexlemf 11034 algrf 12063 eulerthlemh 12249 eulerthlemth 12250 ennnfonelemh 12423 nninfdclemf 12468 mulgval 13030 limcmpted 14529 dvexp 14572 efcn 14586 subctctexmid 15148 |
Copyright terms: Public domain | W3C validator |