have hnpnps := deMorganSmall₃ hnpps
case cons
q p : Prop
ps : List Prop
ih : ¬andN' ps ¬q → impliesN ps q
hnpps : ¬(p ∧ andN' ps ¬q)
hp : p
⊢ impliesN ps q
case cons
q p : Prop
ps : List Prop
ih : ¬andN' ps ¬q → impliesN ps q
hnpps : ¬(p ∧ andN' ps ¬q)
hp : p
hnpnps : ¬p ∨ ¬andN' ps ¬q
⊢ impliesN ps q