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lines changed Original file line number Diff line number Diff line change @@ -27458,6 +27458,16 @@ practical reasons (to avoid having to prove sethood of ` A ` in every use
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nelss $p |- ( ( A e. B /\ -. A e. C ) -> -. B C_ C ) $=
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( wcel wss ssel com12 con3dimp ) ABDZBCEZACDZJIKBCAFGH $.
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+ ${
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+ ssrexf.1 $e |- F/_ x A $.
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+ ssrexf.2 $e |- F/_ x B $.
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+ $( Restricted existential quantification follows from a subclass
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+ relationship. (Contributed by Glauco Siliprandi, 20-Apr-2017.) $)
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+ ssrexf $p |- ( A C_ B -> ( E. x e. A ph -> E. x e. B ph ) ) $=
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+ ( wss cv wcel wa wex wrex nfss ssel anim1d eximd df-rex 3imtr4g ) CDGZBHZ
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+ CIZAJZBKTDIZAJZBKABCLABDLSUBUDBBCDEFMSUAUCACDTNOPABCQABDQR $.
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+ $}
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+
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${
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$d x A $. $d x B $.
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$( Quantification restricted to a subclass. (Contributed by NM,
Original file line number Diff line number Diff line change @@ -36527,7 +36527,7 @@ technically classes despite morally (and provably) being sets, like ` 1 `
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${
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ssrexf.1 $e |- F/_ x A $.
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ssrexf.2 $e |- F/_ x B $.
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- $( restricted existential quantification follows from a subclass
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+ $( Restricted existential quantification follows from a subclass
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relationship. (Contributed by Glauco Siliprandi, 20-Apr-2017.) $)
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ssrexf $p |- ( A C_ B -> ( E. x e. A ph -> E. x e. B ph ) ) $=
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( wss cv wcel wa wex wrex nfss ssel anim1d eximd df-rex 3imtr4g ) CDGZBHZ
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