let n, m be non empty Element of NAT ; :: thesis: for i being Element of NAT
for X being set
for f being PartFunc of , st f is_partial_differentiable_on X,i holds
X is Subset of
let i be Element of NAT ; :: thesis: for X being set
for f being PartFunc of , st f is_partial_differentiable_on X,i holds
X is Subset of
let X be set ; :: thesis: for f being PartFunc of , st f is_partial_differentiable_on X,i holds
X is Subset of
let f be PartFunc of ,; :: thesis: ( f is_partial_differentiable_on X,i implies X is Subset of )
assume f is_partial_differentiable_on X,i ; :: thesis: X is Subset of
then X c= dom f by Def19;
hence X is Subset of by XBOOLE_1:1; :: thesis: verum