0 votes 0 votes Q) There is somebody whom no one loves L(x,y) : x loves y. Doubt:- Does ∀x ∃y ~L(x,y) will be same as ∃x ∀y ~L(y,x) or both are different please give explaination Mathematical Logic mathematical-logic kenneth-rosen discrete-mathematics propositional-logic quantifiers + – kd..... asked Jan 10, 2019 edited Mar 4, 2019 by Pooja Khatri kd..... 410 views answer comment Share Follow See 1 comment See all 1 1 comment reply Satbir commented Jan 10, 2019 reply Follow Share both are different make L(x,y) same and then check. ∀x ∃y ~L(x,y) will be same as ~ (∃x ∀y L(x,y)) ∃x ∀y ~L(y,x).... swap the variables = ∃y ∀x ~L(x,y) which is not same as above 0 votes 0 votes Please log in or register to add a comment.