lean4-htt/old_tests/tests/lean/with_cases.lean
2018-04-10 12:56:55 -07:00

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Text

open tactic
example (p q : Prop) [s₁ : decidable p] [s₂ : decidable q] : true :=
begin
unfreeze_local_instances,
with_cases { cases s₁; cases s₂ },
trace_state,
all_goals { intros, trivial }
end
def split (p : Prop) {q : Prop} [decidable p] (pos : p → q) (neg : ¬ p → q) : q :=
decidable.by_cases pos neg
example (p q : Prop) [decidable p] [decidable q] : true :=
begin
with_cases { apply split p; apply split q; intros hq hp },
trace_state,
all_goals { intros, trivial }
end