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Mirrors > Home > MPE Home > Th. List > deceq1i | Structured version Visualization version Unicode version |
Description: Equality theorem for the decimal constructor. (Contributed by Mario Carneiro, 17-Apr-2015.) |
Ref | Expression |
---|---|
deceq1i.1 |
Ref | Expression |
---|---|
deceq1i | ; ; |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | deceq1i.1 | . 2 | |
2 | deceq1 11500 | . 2 ; ; | |
3 | 1, 2 | ax-mp 5 | 1 ; ; |
Colors of variables: wff setvar class |
Syntax hints: wceq 1483 ;cdc 11493 |
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-3an 1039 df-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-clab 2609 df-cleq 2615 df-clel 2618 df-nfc 2753 df-rex 2918 df-rab 2921 df-v 3202 df-dif 3577 df-un 3579 df-in 3581 df-ss 3588 df-nul 3916 df-if 4087 df-sn 4178 df-pr 4180 df-op 4184 df-uni 4437 df-br 4654 df-iota 5851 df-fv 5896 df-ov 6653 df-dec 11494 |
This theorem is referenced by: deceq12i 11506 decmul10add 11593 decmul10addOLD 11594 1mhdrd 29624 hgt750lem2 30730 fmtno5lem4 41468 fmtno5fac 41494 |
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