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Proof step 68 from proof validref-putrkvs (previous step)

∀ str, r, ty, st. validref(str, r, ty, st) ∧ validvals(str, rkvs0, st) → validref(str, r, ty, st[rkvs0]), validref(str, r, ty, st), validvals(str, rkv + rkvs0, st) ⊦ validref(str, r, ty, st[rkv + rkvs0])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 1:
⊦ validvals(str, rkvs + rkvs0, st) ↔ validvals(str, rkvs, st) ∧ validvals(str, rkvs0, st)
Proof step 2:
⊦ validvals(str, rkv ', st) ↔ validval(str, rkv .1, rkv .2, st)
Proof step 67:
validref(str, r, ty, st), validval(str, rkv .1, rkv .2, st), validvals(str, rkvs0, st), ∀ str, r, ty, st. validref(str, r, ty, st) ∧ validvals(str, rkvs0, st) → validref(str, r, ty, st[rkvs0]) ⊦ validref(str, r, ty, st[rkv ' + rkvs0])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (rkvs + rkvs0) + rkvs1 = rkvs + rkvs0 + rkvs1], [CSIMPSEQ : ⊦ rkv + rkvs = rkv ' + rkvs])]]