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Mirrors > Home > ILE Home > Th. List > caovdilemd | Unicode version |
Description: Lemma used by real number construction. (Contributed by Jim Kingdon, 16-Sep-2019.) |
Ref | Expression |
---|---|
caovdilemd.com | |
caovdilemd.distr | |
caovdilemd.ass | |
caovdilemd.cl | |
caovdilemd.a | |
caovdilemd.b | |
caovdilemd.c | |
caovdilemd.d | |
caovdilemd.h |
Ref | Expression |
---|---|
caovdilemd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | caovdilemd.distr | . . 3 | |
2 | caovdilemd.cl | . . . 4 | |
3 | caovdilemd.a | . . . 4 | |
4 | caovdilemd.c | . . . 4 | |
5 | 2, 3, 4 | caovcld 5917 | . . 3 |
6 | caovdilemd.b | . . . 4 | |
7 | caovdilemd.d | . . . 4 | |
8 | 2, 6, 7 | caovcld 5917 | . . 3 |
9 | caovdilemd.h | . . 3 | |
10 | 1, 5, 8, 9 | caovdird 5942 | . 2 |
11 | caovdilemd.ass | . . . 4 | |
12 | 11, 3, 4, 9 | caovassd 5923 | . . 3 |
13 | 11, 6, 7, 9 | caovassd 5923 | . . 3 |
14 | 12, 13 | oveq12d 5785 | . 2 |
15 | 10, 14 | eqtrd 2170 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 w3a 962 wceq 1331 wcel 1480 (class class class)co 5767 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2119 |
This theorem depends on definitions: df-bi 116 df-3an 964 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-nfc 2268 df-ral 2419 df-rex 2420 df-v 2683 df-un 3070 df-sn 3528 df-pr 3529 df-op 3531 df-uni 3732 df-br 3925 df-iota 5083 df-fv 5126 df-ov 5770 |
This theorem is referenced by: caovlem2d 5956 addassnqg 7183 addassnq0 7263 axmulass 7674 |
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