Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > tz6.12 | Structured version Visualization version Unicode version |
Description: Function value. Theorem 6.12(1) of [TakeutiZaring] p. 27. (Contributed by NM, 10-Jul-1994.) |
Ref | Expression |
---|---|
tz6.12 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-br 4654 | . 2 | |
2 | 1 | eubii 2492 | . 2 |
3 | tz6.12-1 6210 | . 2 | |
4 | 1, 2, 3 | syl2anbr 497 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wa 384 wceq 1483 wcel 1990 weu 2470 cop 4183 class class class wbr 4653 cfv 5888 |
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-10 2019 ax-11 2034 ax-12 2047 ax-13 2246 ax-ext 2602 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-eu 2474 df-clab 2609 df-cleq 2615 df-clel 2618 df-nfc 2753 df-rex 2918 df-v 3202 df-sbc 3436 df-un 3579 df-sn 4178 df-pr 4180 df-uni 4437 df-br 4654 df-iota 5851 df-fv 5896 |
This theorem is referenced by: tz6.12f 6212 dfac5lem5 8950 tz6.12-afv 41253 |
Copyright terms: Public domain | W3C validator |