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Mirrors > Home > MPE Home > Th. List > isptfin | Structured version Visualization version Unicode version |
Description: The statement "is a point-finite cover." (Contributed by Jeff Hankins, 21-Jan-2010.) |
Ref | Expression |
---|---|
isptfin.1 |
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Ref | Expression |
---|---|
isptfin |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | unieq 4209 |
. . . 4
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2 | isptfin.1 |
. . . 4
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3 | 1, 2 | syl6eqr 2505 |
. . 3
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4 | rabeq 3040 |
. . . 4
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5 | 4 | eleq1d 2515 |
. . 3
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6 | 3, 5 | raleqbidv 3003 |
. 2
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7 | df-ptfin 20533 |
. 2
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8 | 6, 7 | elab2g 3189 |
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 1671 ax-4 1684 ax-5 1760 ax-6 1807 ax-7 1853 ax-10 1917 ax-11 1922 ax-12 1935 ax-13 2093 ax-ext 2433 |
This theorem depends on definitions: df-bi 189 df-an 373 df-tru 1449 df-ex 1666 df-nf 1670 df-sb 1800 df-clab 2440 df-cleq 2446 df-clel 2449 df-nfc 2583 df-ral 2744 df-rex 2745 df-rab 2748 df-v 3049 df-uni 4202 df-ptfin 20533 |
This theorem is referenced by: finptfin 20545 ptfinfin 20546 lfinpfin 20551 |
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