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File: | Content/ArithmeticAlgebraLogic/forall/rec-forall6.xml (mml file) | |
Author: | Design Science, Inc. (E. Cannon, E. Tabacman, R.Miner) | |
Description: | not (there exists s in S such that f(s) is in T) = (for all s in S, f(s) not in T) | |
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<math> <apply> <eq/> <apply> <not/> <apply> <exists/> <bvar> <ci>s</ci> </bvar> <condition> <apply> <in/> <ci>s</ci> <ci>S</ci> </apply> </condition> <apply> <in/> <apply> <fn> <ci>f</ci> </fn> <ci>s</ci> </apply> <ci>T</ci> </apply> </apply> </apply> <apply> <forall/> <bvar> <ci>s</ci> </bvar> <condition> <apply> <in/> <ci>s</ci> <ci>S</ci> </apply> </condition> <apply> <notin/> <apply> <fn> <ci>f</ci> </fn> <ci>s</ci> </apply> <ci>T</ci> </apply> </apply> </apply> </math>