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Mirrors > Home > ILE Home > Th. List > csbied | Unicode version |
Description: Conversion of implicit substitution to explicit substitution into a class. (Contributed by Mario Carneiro, 2-Dec-2014.) (Revised by Mario Carneiro, 13-Oct-2016.) |
Ref | Expression |
---|---|
csbied.1 |
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csbied.2 |
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Ref | Expression |
---|---|
csbied |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1539 |
. 2
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2 | nfcvd 2333 |
. 2
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3 | csbied.1 |
. 2
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4 | csbied.2 |
. 2
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5 | 1, 2, 3, 4 | csbiedf 3112 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 710 ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-10 1516 ax-11 1517 ax-i12 1518 ax-bndl 1520 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 ax-ext 2171 |
This theorem depends on definitions: df-bi 117 df-3an 982 df-tru 1367 df-nf 1472 df-sb 1774 df-clab 2176 df-cleq 2182 df-clel 2185 df-nfc 2321 df-v 2754 df-sbc 2978 df-csb 3073 |
This theorem is referenced by: csbied2 3119 rspc2vd 3140 fvmptd 5618 seq3f1olemp 10533 fsumgcl 11426 fsum3 11427 fsumshftm 11485 fisum0diag2 11487 fprodseq 11623 fprodeq0 11657 imasival 12783 mulgfvalg 13063 znval 13932 psrval 13944 |
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