22 lines
570 B
Text
22 lines
570 B
Text
open smt_tactic
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example (a b c : nat) : a = b + 0 → a + c = b + c :=
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by using_smt $ do
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pr ← tactic.to_expr `(add_zero b),
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note `h pr,
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trace_state, return ()
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constant p : nat → nat → Prop
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constant f : nat → nat
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axiom pf (a : nat) : p (f a) (f a) → p a a
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example (a b c : nat) : a = b → p (f a) (f b) → p a b :=
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by using_smt $ do
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t ← tactic.to_expr `(p (f a) (f a)),
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assert `h t, -- assert automatically closed the new goal
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trace_state,
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tactic.trace "-----",
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pr ← tactic.to_expr `(pf _ h),
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note `h2 pr,
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trace_state,
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return ()
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