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Mirrors > Home > MPE Home > Th. List > sbid | Structured version Visualization version Unicode version |
Description: An identity theorem for substitution. Remark 9.1 in [Megill] p. 447 (p. 15 of the preprint). (Contributed by NM, 26-May-1993.) (Proof shortened by Wolf Lammen, 30-Sep-2018.) |
Ref | Expression |
---|---|
sbid |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | equid 1939 | . 2 | |
2 | sbequ12r 2112 | . 2 | |
3 | 1, 2 | ax-mp 5 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wb 196 wsb 1880 |
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-12 2047 |
This theorem depends on definitions: df-bi 197 df-an 386 df-ex 1705 df-sb 1881 |
This theorem is referenced by: sbco 2412 sbidm 2414 sbal2 2461 abid 2610 sbceq1a 3446 sbcid 3452 frege58bid 38196 sbidd 42459 sbidd-misc 42460 |
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