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Theorem from-to-exchange
⊦ ¬ # σ < ⌜m⌝ + ⌜n⌝ → (σ to m + n) from m = (σ from m) to n
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 5
Used lemmas:
size-fin
,
size-append
,
from-succ-cons
,
append-assoc
,
to-succ-cons
,
cons-append
,
size-empty
,
elim-hd-tl
,
from-zero
,
Used spec theorems:
Used simplifier rules:
nat-basic2
/
add-base
nat-inf
/
add-fin
nat-basic2
/
succ
nat-basic2
/
a
nat-basic2
/
c
list
/
len-02
nat-inf
/
add-ls-cancel-num-04
nat-inf
/
add-all-zero
nat-inf
/
add-assoc
nat-inf
/
add-comm
nat-inf
/
zerols-neqzero
nat-inf
/
add-cancel-num-02