lean4-htt/tests/lean/1334b.lean

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Text

inductive term : Type
| var : nat → term
| app : list term → term
| cnst : string → term
def var_of : term → option nat
| (term.var n) := some n
| _ := none
check var_of.equations._eqn_1
check var_of.equations._eqn_2
check var_of.equations._eqn_3
def list_of : term → list term
| (term.app ts) := ts
| _ := []
check list_of.equations._eqn_1
check list_of.equations._eqn_2
check list_of.equations._eqn_3
example (a : nat) (ls : list term) : term.var a = term.app ls → false :=
by contradiction
example (a : nat) (s : string) : ¬ term.var a = term.cnst s :=
by contradiction