![]() |
Mathbox for BJ |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > ILE Home > Th. List > Mathboxes > bdccsb | Unicode version |
Description: A class resulting from proper substitution of a setvar for a setvar in a bounded class is bounded. (Contributed by BJ, 16-Oct-2019.) |
Ref | Expression |
---|---|
bdccsb.1 |
![]() ![]() |
Ref | Expression |
---|---|
bdccsb |
![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bdccsb.1 |
. . . . 5
![]() ![]() | |
2 | 1 | bdeli 15283 |
. . . 4
![]() ![]() ![]() ![]() |
3 | 2 | bdsbc 15295 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
4 | 3 | bdcab 15286 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
5 | df-csb 3081 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
6 | 4, 5 | bdceqir 15281 |
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-5 1458 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-4 1521 ax-17 1537 ax-ial 1545 ax-ext 2175 ax-bd0 15250 ax-bdsb 15259 |
This theorem depends on definitions: df-bi 117 df-clab 2180 df-cleq 2186 df-clel 2189 df-sbc 2986 df-csb 3081 df-bdc 15278 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |