let C be FormalContext; for CP1, CP2 being strict FormalConcept of C holds
( (B-meet C) . (CP1,CP2) is strict FormalConcept of C & (B-join C) . (CP1,CP2) is strict FormalConcept of C )
let CP1, CP2 be strict FormalConcept of C; ( (B-meet C) . (CP1,CP2) is strict FormalConcept of C & (B-join C) . (CP1,CP2) is strict FormalConcept of C )
( (B-meet C) . (CP1,CP2) in rng (B-meet C) & (B-join C) . (CP1,CP2) in rng (B-join C) )
by Lm2, Lm3;
hence
( (B-meet C) . (CP1,CP2) is strict FormalConcept of C & (B-join C) . (CP1,CP2) is strict FormalConcept of C )
by Th35; verum