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Mirrors > Home > MPE Home > Th. List > Mathboxes > bj-ceqsalt0 | Structured version Visualization version Unicode version |
Description: The FOL content of ceqsalt 3070. Lemma for bj-ceqsalt 31484 and bj-ceqsaltv 31485. (Contributed by BJ, 26-Sep-2019.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
bj-ceqsalt0 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simp3 1010 |
. . 3
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2 | biimp 197 |
. . . . . . 7
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3 | 2 | imim3i 61 |
. . . . . 6
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4 | 3 | al2imi 1687 |
. . . . 5
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5 | 4 | 3ad2ant2 1030 |
. . . 4
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6 | 19.23t 1991 |
. . . . 5
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7 | 6 | 3ad2ant1 1029 |
. . . 4
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8 | 5, 7 | sylibd 218 |
. . 3
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9 | 1, 8 | mpid 42 |
. 2
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10 | biimpr 202 |
. . . . . . 7
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11 | 10 | imim2i 16 |
. . . . . 6
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12 | 11 | com23 81 |
. . . . 5
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13 | 12 | alimi 1684 |
. . . 4
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14 | 13 | 3ad2ant2 1030 |
. . 3
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15 | 19.21t 1986 |
. . . 4
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16 | 15 | 3ad2ant1 1029 |
. . 3
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17 | 14, 16 | mpbid 214 |
. 2
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18 | 9, 17 | impbid 194 |
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 1669 ax-4 1682 ax-5 1758 ax-6 1805 ax-7 1851 ax-10 1915 ax-12 1933 |
This theorem depends on definitions: df-bi 189 df-an 373 df-3an 987 df-ex 1664 df-nf 1668 |
This theorem is referenced by: bj-ceqsalt 31484 bj-ceqsaltv 31485 bj-ceqsalg0 31486 |
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