42 lines
1.3 KiB
Text
42 lines
1.3 KiB
Text
import Lean.Meta
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new_frontend
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open Lean
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open Lean.Meta
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def print (msg : MessageData) : MetaM Unit :=
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trace! `Meta.debug msg
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def checkM (x : MetaM Bool) : MetaM Unit :=
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unlessM x $ throwError "check failed"
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axiom Ax : forall (α β : Type), α → β → DecidableEq β
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set_option trace.Meta.debug true
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def tst1 : MetaM Unit := do
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let cinfo ← getConstInfo `Ax;
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let (_, _, e) ← forallMetaTelescopeReducing cinfo.type (some 0);
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checkM (pure (!e.hasMVar));
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print e;
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let (_, _, e) ← forallMetaTelescopeReducing cinfo.type (some 1);
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checkM (pure e.hasMVar);
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checkM (pure e.isForall);
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print e;
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let (_, _, e) ← forallMetaTelescopeReducing cinfo.type (some 5);
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checkM (pure e.hasMVar);
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checkM (pure e.isForall);
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print e;
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let (_, _, e) ← forallMetaTelescopeReducing cinfo.type (some 6);
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checkM (pure e.hasMVar);
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checkM (pure (!e.isForall));
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print e;
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let (_, _, e') ← forallMetaTelescopeReducing cinfo.type;
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print e';
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checkM (isDefEq e e');
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forallBoundedTelescope cinfo.type (some 0) $ fun xs body => checkM (pure (xs.size == 0));
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forallBoundedTelescope cinfo.type (some 1) $ fun xs body => checkM (pure (xs.size == 1));
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forallBoundedTelescope cinfo.type (some 6) $ fun xs body => do { print xs; checkM (pure (xs.size == 6)) };
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forallBoundedTelescope cinfo.type (some 10) $ fun xs body => do { print xs; checkM (pure (xs.size == 6)) };
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pure ()
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#eval tst1
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