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Proof step 5 from proof update-keyin (previous step)

∀ r0, sk, r, st. (r0 -- sk ∈ update(r, fis0, st) ↔ r0 -- sk ∈ st) ∨ sk ∈ fis0 ⊦ r0 -- sk = r -- sk0 ∨ r0 -- sk ∈ update(r, fis0, st) ↔ r0 -- sk ∈ st, sk = sk0, sk ∈ fis0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
∀ r0, sk, r, st. (r0 -- sk ∈ update(r, fis0, st) ↔ r0 -- sk ∈ st) ∨ sk ∈ fis0 ⊦ sk = sk0, r0 -- sk ∈ update(r, fis0, st) ↔ r0 -- sk ∈ st, sk ∈ fis0

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0])]]