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Mirrors > Home > MPE Home > Th. List > cbvrexdva | Structured version Visualization version Unicode version |
Description: Rule used to change the bound variable in a restricted existential quantifier with implicit substitution. Deduction form. (Contributed by David Moews, 1-May-2017.) |
Ref | Expression |
---|---|
cbvraldva.1 |
Ref | Expression |
---|---|
cbvrexdva |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cbvraldva.1 | . 2 | |
2 | eqidd 2623 | . 2 | |
3 | 1, 2 | cbvrexdva2 3176 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wa 384 wrex 2913 |
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-9 1999 ax-11 2034 ax-12 2047 ax-13 2246 ax-ext 2602 |
This theorem depends on definitions: df-bi 197 df-an 386 df-ex 1705 df-cleq 2615 df-clel 2618 df-rex 2918 |
This theorem is referenced by: tfrlem3a 7473 trgcopy 25696 trgcopyeu 25698 acopyeu 25725 tgasa1 25739 2sqmo 29649 dispcmp 29926 f1omptsn 33184 |
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