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Theorem sum-swap
⊦ Σ(n, λ k0. Σ(m, λ k1. nnf(k0, k1))) = Σ(m, λ k1. Σ(n, λ k0. nnf(k0, k1)))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
dot-assoc
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 7
Used lemmas:
sum-split
,
sum-rec
,
sum-empty
,
sum-base
,
Used spec theorems:
Used simplifier rules:
nat-basic2
/
c
nat-basic2
/
a
nat-basic2
/
succ
int-basic2
/
add-c
int-basic2
/
add-a
int-basic2
/
add-in