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Related theorems Unicode version |
| Description: A substitution into a
theorem remains true (when |
| Ref | Expression |
|---|---|
| sbcth.1 |
|
| Ref | Expression |
|---|---|
| sbcth |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | sbcth.1 |
. . 3
| |
| 2 | 1 | ax-gen 960 |
. 2
|
| 3 | a4sbc 1935 |
. 2
| |
| 4 | 2, 3 | mpi 44 |
1
|
| Colors of variables: wff set class |
| Syntax hints: |
| This theorem is referenced by: sbcth2 1972 csbeq2i 2010 |
| This theorem was proved from axioms: ax-1 4 ax-2 5 ax-3 6 ax-mp 7 ax-gen 960 ax-12 965 ax-17 968 ax-4 970 ax-5o 972 ax-6o 975 ax-9o 1119 ax-ext 1452 |
| This theorem depends on definitions: df-bi 147 df-an 225 df-ex 978 df-sb 1168 df-clab 1457 df-cleq 1462 df-clel 1465 df-v 1803 df-sbc 1932 |