37 lines
613 B
Text
37 lines
613 B
Text
variable f : Nat → Nat
|
|
variable g : Nat → Nat → Nat
|
|
rewrite_set fgrules
|
|
|
|
axiom Axf1 : ∀ x, f (f x) = x
|
|
add_rewrite Axf1 : fgrules
|
|
|
|
axiom Axfg : ∀ x, g x x = x
|
|
add_rewrite Axfg : fgrules
|
|
|
|
variables a b : Nat
|
|
|
|
print rewrite_set fgrules
|
|
|
|
(*
|
|
local t = parse_lean('g a (f (f a))')
|
|
print(simplify(t, {'fgrules'}))
|
|
*)
|
|
|
|
disable_rewrite Axfg : fgrules
|
|
|
|
(*
|
|
local t = parse_lean('g a (f (f a))')
|
|
print(simplify(t, {'fgrules'}))
|
|
*)
|
|
|
|
enable_rewrite Axfg : fgrules
|
|
|
|
(*
|
|
local t = parse_lean('g a (f (f a))')
|
|
print(simplify(t, {'fgrules'}))
|
|
*)
|
|
|
|
(*
|
|
local t = parse_lean('g a (f (f a))')
|
|
print(simplify(t, 'fgrules'))
|
|
*)
|