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Proof step 62 from proof validref-putrkvs (previous step)

validref(str, r, ty, st), validval(str, rk, val, 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[rk, val][rkvs0]), validref(str, r, ty, st[rk, val]) ∧ validvals(str, rkvs0, st[rk, val])

User applied rule cut formula

And obtained the following new goals

Proof step 8:
validref(str, r, ty, st[rk, val]), validref(str, r, ty, st), validval(str, rk, val, 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[rk, val][rkvs0]), validref(str, r, ty, st[rk, val]) ∧ validvals(str, rkvs0, st[rk, val])
Proof step 61:
validref(str, r, ty, st), validval(str, rk, val, 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[rk, val]), validref(str, r, ty, st[rk, val][rkvs0]), validref(str, r, ty, st[rk, val]) ∧ validvals(str, rkvs0, st[rk, val])

Rule argument

[fma-arg: validref(str, r, ty, st[rk, val])]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (validref(str, r, ty, st[rk, val]))]]