lean2/tests/lean/univ_vars.lean.expected.out

id1 : Π (A : Type.{u}), A → A
id2.{l_2} : Π (B : Type.{l_2}), B → B
id3.{l_2} : Π (C : Type.{l_2}), C → C
foo.{l_2} : Π (A₁ A₂ : Type.{l_2}), A₁ → A₂ → Prop
Type.{m} : Type.{succ m}
feat(frontends/lean): add 'universe variable' command We can declare variables anywhere. So, we must also be able do declare "universe" variables anywhere. Here is a minimal example that requires this feature ``` -- We want A and B to be in the same universe universe variable l variable A : Type.{l} variable B : Type.{l} definition tst := A = B ``` The following doesn't work because A and B are in different universes ``` variable A : Type variable B : Type definition tst := A = B ``` The following works, but tst is not universe polymorphic, since l is one fixed global universe ``` universe l variable A : Type.{l} variable B : Type.{l} definition tst := A = B ``` 2014-10-11 17:58:15 +00:00			`id1 : Π (A : Type.{u}), A → A`
			`id2.{l_2} : Π (B : Type.{l_2}), B → B`
fix(frontends/lean): universe variable is treated as parameter inside section, fixes #283 2014-10-30 02:47:14 +00:00			`id3.{l_2} : Π (C : Type.{l_2}), C → C`
			`foo.{l_2} : Π (A₁ A₂ : Type.{l_2}), A₁ → A₂ → Prop`
feat(frontends/lean): add 'universe variable' command We can declare variables anywhere. So, we must also be able do declare "universe" variables anywhere. Here is a minimal example that requires this feature ``` -- We want A and B to be in the same universe universe variable l variable A : Type.{l} variable B : Type.{l} definition tst := A = B ``` The following doesn't work because A and B are in different universes ``` variable A : Type variable B : Type definition tst := A = B ``` The following works, but tst is not universe polymorphic, since l is one fixed global universe ``` universe l variable A : Type.{l} variable B : Type.{l} definition tst := A = B ``` 2014-10-11 17:58:15 +00:00			`Type.{m} : Type.{succ m}`