lean2/tests/lean/run/show2.lean

import data.nat
open nat algebra

example : ∀ a b : nat, a + b = b + a :=
show ∀ a b : nat, a + b = b + a
| 0        0        := rfl
| 0        (succ b) := by rewrite zero_add
| (succ a) 0        := by rewrite zero_add
| (succ a) (succ b) := by rewrite [succ_add, this]
feat(frontends/lean/builtin_exprs): rename 'show' hidden name to 'this' This is useful if 'show' is recursive 2015-08-07 18:25:54 +01:00			`import data.nat`
refactor(library/data/nat/basic): mark some theorems as protected to avoid overloading 2015-10-14 12:27:09 -07:00			`open nat algebra`
feat(frontends/lean/builtin_exprs): rename 'show' hidden name to 'this' This is useful if 'show' is recursive 2015-08-07 18:25:54 +01:00
fix(tests/lean/run): adjust some tests to changes in the standard library 2015-10-13 15:39:03 -07:00			`example : ∀ a b : nat, a + b = b + a :=`
feat(frontends/lean/builtin_exprs): rename 'show' hidden name to 'this' This is useful if 'show' is recursive 2015-08-07 18:25:54 +01:00			`show ∀ a b : nat, a + b = b + a`
			`\| 0 0 := rfl`
			`\| 0 (succ b) := by rewrite zero_add`
			`\| (succ a) 0 := by rewrite zero_add`
			`\| (succ a) (succ b) := by rewrite [succ_add, this]`