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Mirrors > Home > ILE Home > Th. List > nfeqd | Unicode version |
Description: Hypothesis builder for equality. (Contributed by Mario Carneiro, 7-Oct-2016.) |
Ref | Expression |
---|---|
nfeqd.1 |
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nfeqd.2 |
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Ref | Expression |
---|---|
nfeqd |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfcleq 2083 |
. 2
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2 | nfv 1467 |
. . 3
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3 | nfeqd.1 |
. . . . 5
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4 | 3 | nfcrd 2243 |
. . . 4
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5 | nfeqd.2 |
. . . . 5
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6 | 5 | nfcrd 2243 |
. . . 4
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7 | 4, 6 | nfbid 1526 |
. . 3
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8 | 2, 7 | nfald 1691 |
. 2
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9 | 1, 8 | nfxfrd 1410 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1382 ax-7 1383 ax-gen 1384 ax-4 1446 ax-17 1465 ax-ial 1473 ax-i5r 1474 ax-ext 2071 |
This theorem depends on definitions: df-bi 116 df-nf 1396 df-cleq 2082 df-nfc 2218 |
This theorem is referenced by: nfeld 2245 nfned 2350 vtoclgft 2670 sbcralt 2916 sbcrext 2917 csbiebt 2968 dfnfc2 3677 eusvnfb 4289 eusv2i 4290 iota2df 5017 riota5f 5646 |
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