(** * Memory injections *)
(** A memory injection [f] is a function from addresses to either [None] or [Some] of an address and an offset.  It defines a correspondence between the blocks of two memory states [m1] and [m2]: - if [f b = None], the block [b] of [m1] has no equivalent in [m2]; - if [f b = Some(b', ofs)], the block [b] of [m2] corresponds to a sub-block at offset [ofs] of the block [b'] in [m2].  A memory injection [f] defines a relation [Val.inject] between values that is the identity for integer and float values, and relocates pointer values as prescribed by [f].  (See module [Values].)  Likewise, a memory injection [f] defines a relation between memory states that we now axiomatize. *)
Parameter inject: meminj -> mem -> mem -> Prop.

Axiom alloc_left_unmapped_inject:
forall f m1 m2 lo hi m1' b1,
inject f m1 m2 ->
alloc m1 lo hi = (m1', b1) ->
exists f',
inject f' m1' m2
/\ inject_incr f f'
/\ f' b1 = None
/\ (forall b, b <> b1 -> f' b = f b).