Section ALLOC.
Variable m1: mem.
Variables lo hi: Z.
Variable m2: mem.
Variable b: block.
Hypothesis ALLOC: alloc m1 lo hi = (m2, b).
Local Hint Resolve valid_block_alloc fresh_block_alloc valid_new_block: mem.
Local Hint Resolve perm_alloc_1 perm_alloc_2 perm_alloc_3 perm_alloc_4: mem.

Theorem valid_access_alloc_same:
forall chunk ofs,
lo <= ofs -> ofs + size_chunk chunk <= hi -> (align_chunk chunk | ofs) ->
valid_access m2 chunk b ofs Freeable.