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Mirrors > Home > MPE Home > Th. List > ifval | Unicode version |
Description: Another expression of the
value of the if predicate, analogous to
eqif 3979. See also the more specialized iftrue 3947 and iffalse 3950.
(Contributed by BJ, 6-Apr-2019.) |
Ref | Expression |
---|---|
ifval |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqif 3979 | . 2 | |
2 | cases2 971 | . 2 | |
3 | 1, 2 | bitri 249 | 1 |
Colors of variables: wff setvar class |
Syntax hints: -. wn 3 -> wi 4
<-> wb 184 \/ wo 368 /\ wa 369
= wceq 1395 if cif 3941 |
This theorem is referenced by: bj-projval 34554 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1618 ax-4 1631 ax-5 1704 ax-6 1747 ax-7 1790 ax-10 1837 ax-11 1842 ax-12 1854 ax-13 1999 ax-ext 2435 |
This theorem depends on definitions: df-bi 185 df-or 370 df-an 371 df-tru 1398 df-ex 1613 df-nf 1617 df-sb 1740 df-clab 2443 df-cleq 2449 df-clel 2452 df-if 3942 |
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