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Mirrors > Home > ILE Home > Th. List > sbceq1d | Unicode version |
Description: Equality theorem for class substitution. (Contributed by Mario Carneiro, 9-Feb-2017.) (Revised by NM, 30-Jun-2018.) |
Ref | Expression |
---|---|
sbceq1d.1 |
Ref | Expression |
---|---|
sbceq1d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sbceq1d.1 | . 2 | |
2 | dfsbcq 2884 | . 2 | |
3 | 1, 2 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wceq 1316 wsbc 2882 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1408 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-4 1472 ax-17 1491 ax-ial 1499 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-cleq 2110 df-clel 2113 df-sbc 2883 |
This theorem is referenced by: sbceq1dd 2888 rexrnmpt 5531 findcard2 6751 findcard2s 6752 ac6sfi 6760 nn1suc 8703 uzind4s 9341 uzind4s2 9342 fzrevral 9840 fzshftral 9843 cjth 10573 prmind2 11713 bj-bdfindes 13043 bj-findes 13075 |
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