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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 2082 |
. 2
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2 | nfv 1466 |
. . 3
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3 | nfeqd.1 |
. . . . 5
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4 | 3 | nfcrd 2242 |
. . . 4
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5 | nfeqd.2 |
. . . . 5
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6 | 5 | nfcrd 2242 |
. . . 4
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7 | 4, 6 | nfbid 1525 |
. . 3
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8 | 2, 7 | nfald 1690 |
. 2
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9 | 1, 8 | nfxfrd 1409 |
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 104 ax-ia2 105 ax-ia3 106 ax-5 1381 ax-7 1382 ax-gen 1383 ax-4 1445 ax-17 1464 ax-ial 1472 ax-i5r 1473 ax-ext 2070 |
This theorem depends on definitions: df-bi 115 df-nf 1395 df-cleq 2081 df-nfc 2217 |
This theorem is referenced by: nfeld 2244 nfned 2349 vtoclgft 2669 sbcralt 2915 sbcrext 2916 csbiebt 2967 dfnfc2 3671 eusvnfb 4276 eusv2i 4277 iota2df 5004 riota5f 5632 |
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