let A be non empty set ; :: thesis: for B being Finite_Subset of A
for L being 1_Lattice
for f, g being Function of A,the carrier of L st f | B = g | B holds
FinMeet B,f = FinMeet B,g
let B be Finite_Subset of A; :: thesis: for L being 1_Lattice
for f, g being Function of A,the carrier of L st f | B = g | B holds
FinMeet B,f = FinMeet B,g
let L be 1_Lattice; :: thesis: for f, g being Function of A,the carrier of L st f | B = g | B holds
FinMeet B,f = FinMeet B,g
let f, g be Function of A,the carrier of L; :: thesis: ( f | B = g | B implies FinMeet B,f = FinMeet B,g )
assume A1: f | B = g | B ; :: thesis: FinMeet B,f = FinMeet B,g
reconsider f9 = f, g9 = g as Function of A,the carrier of (L .: ) ;
A2: FinMeet B,g = FinJoin B,g9 ;
( L .: is 0_Lattice & FinMeet B,f = FinJoin B,f9 ) by Th64;
hence FinMeet B,f = FinMeet B,g by A1, A2, Th69; :: thesis: verum