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Mathbox for Thierry Arnoux |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > ddeval0 | Structured version Unicode version |
Description: Value of the delta measure. (Contributed by Thierry Arnoux, 14-Sep-2018.) |
Ref | Expression |
---|---|
ddeval0 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | reex 9487 |
. . . . 5
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2 | 1 | ssex 4547 |
. . . 4
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3 | elpwg 3979 |
. . . . 5
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4 | 3 | biimpar 485 |
. . . 4
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5 | 2, 4 | mpancom 669 |
. . 3
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6 | eleq2 2527 |
. . . . 5
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7 | 6 | ifbid 3922 |
. . . 4
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8 | df-dde 26813 |
. . . 4
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9 | 1ex 9495 |
. . . . 5
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10 | c0ex 9494 |
. . . . 5
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11 | 9, 10 | ifex 3969 |
. . . 4
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12 | 7, 8, 11 | fvmpt 5886 |
. . 3
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13 | 5, 12 | syl 16 |
. 2
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14 | iffalse 3910 |
. 2
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15 | 13, 14 | sylan9eq 2515 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1592 ax-4 1603 ax-5 1671 ax-6 1710 ax-7 1730 ax-9 1762 ax-10 1777 ax-11 1782 ax-12 1794 ax-13 1955 ax-ext 2432 ax-sep 4524 ax-nul 4532 ax-pr 4642 ax-cnex 9452 ax-resscn 9453 ax-1cn 9454 ax-icn 9455 ax-addcl 9456 ax-mulcl 9458 ax-i2m1 9464 |
This theorem depends on definitions: df-bi 185 df-or 370 df-an 371 df-3an 967 df-tru 1373 df-ex 1588 df-nf 1591 df-sb 1703 df-eu 2266 df-mo 2267 df-clab 2440 df-cleq 2446 df-clel 2449 df-nfc 2604 df-ne 2650 df-ral 2804 df-rex 2805 df-rab 2808 df-v 3080 df-sbc 3295 df-dif 3442 df-un 3444 df-in 3446 df-ss 3453 df-nul 3749 df-if 3903 df-pw 3973 df-sn 3989 df-pr 3991 df-op 3995 df-uni 4203 df-br 4404 df-opab 4462 df-mpt 4463 df-id 4747 df-xp 4957 df-rel 4958 df-cnv 4959 df-co 4960 df-dm 4961 df-iota 5492 df-fun 5531 df-fv 5537 df-dde 26813 |
This theorem is referenced by: ddemeas 26816 |
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