[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 4 from proof inv-add-log-leb (previous step)

# lpt = # avol, m = m2, m1 = m3, ebm-vol-inv(avol), wbuf-cons(bleb, wbuf, avol, rofs), ¬ rofs → bleb = buffered(m3) ∨ (bleb = nobuffer ∨ wbuf.nbytes = 0) ∧ m3 < # avol ∧ avol[m3].mapped? ∧ m0 = # avol[m3].data ⊦ ⟪if rofs then err := EROFS else {apersistence_io_add_log_leb#(m1, adr, m, avol, lpt, ns; plog; err); if err = ESUCCESS then wbuf_move_buf#(m1, m0, rofs, avol; bleb, wbuf; err)}⟫ wbuf-cons(bleb, wbuf, avol, rofs)

Heuristic conditional right split applied rule if right

And obtained the following new goals

Proof step 5:
# lpt = # avol, m = m2, m1 = m3, rofs, ebm-vol-inv(avol), wbuf-cons(bleb, wbuf, avol, rofs), ¬ rofs → bleb = buffered(m3) ∨ (bleb = nobuffer ∨ wbuf.nbytes = 0) ∧ m3 < # avol ∧ avol[m3].mapped? ∧ m0 = # avol[m3].data ⊦ ⟪err := EROFS⟫ wbuf-cons(bleb, wbuf, avol, rofs)
Proof step 6:
# lpt = # avol, m = m2, m1 = m3, ¬ rofs, ebm-vol-inv(avol), wbuf-cons(bleb, wbuf, avol, rofs), ¬ rofs → bleb = buffered(m3) ∨ (bleb = nobuffer ∨ wbuf.nbytes = 0) ∧ m3 < # avol ∧ avol[m3].mapped? ∧ m0 = # avol[m3].data ⊦ ⟪apersistence_io_add_log_leb#(m1, adr, m, avol, lpt, ns; plog; err); if err = ESUCCESS then wbuf_move_buf#(m1, m0, rofs, avol; bleb, wbuf; err)⟫ wbuf-cons(bleb, wbuf, avol, rofs)

Rule argument

pos: right 1

Proof step 4 from proof inv-add-log-leb (previous step)

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

Additional information