let n be Element of NAT ; for RAS being ReperAlgebra of n
for a, b being Point of RAS
for W being ATLAS of RAS
for x being Tuple of (n + 1),W holds Phi (a,x) = Phi (b,x)
let RAS be ReperAlgebra of n; for a, b being Point of RAS
for W being ATLAS of RAS
for x being Tuple of (n + 1),W holds Phi (a,x) = Phi (b,x)
let a, b be Point of RAS; for W being ATLAS of RAS
for x being Tuple of (n + 1),W holds Phi (a,x) = Phi (b,x)
let W be ATLAS of RAS; for x being Tuple of (n + 1),W holds Phi (a,x) = Phi (b,x)
let x be Tuple of (n + 1),W; Phi (a,x) = Phi (b,x)
RAS is being_invariance
by Def14;
hence
Phi (a,x) = Phi (b,x)
by Th21; verum