conversations listlengths 2 2 | source stringclasses 1 value | stack stringclasses 1 value |
|---|---|---|
[
{
"from": "human",
"value": "Add another bad example for current elaborator\n\nSigned-off-by: Leonardo de Moura <7610bae85f2b530654cc716772f1fe653373e892@microsoft.com>\n"
},
{
"from": "gpt",
"value": "Variable g {A : Type} (a : A) : A\nVariable a : Int\nVariable b : Int\nAxiom H1 : a = b\n(*\nT... | lean | chosen |
[
{
"from": "human",
"value": "Add example with nested quantifiers\n\nSigned-off-by: Leonardo de Moura <7610bae85f2b530654cc716772f1fe653373e892@microsoft.com>\n"
},
{
"from": "gpt",
"value": "Variable f : Type -> Bool\nVariable g : Type -> Type -> Bool\nShow forall (a b : Type), exists (c : Type)... | lean | chosen |
[
{
"from": "human",
"value": "Add proof by evaluation examples\n\nSigned-off-by: Leonardo de Moura <7610bae85f2b530654cc716772f1fe653373e892@microsoft.com>\n"
},
{
"from": "gpt",
"value": "Definition a : Nat := 10\n(* Trivial indicates a \"proof by evaluation\" *)\nTheorem T1 : a > 0 := Trivial\n... | lean | chosen |
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