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Theorem union-left-singleton
r ∈ h ⊦ ∅(r := h(r)) ∪ (h -- r) = h
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state:
refmap-maplet
,
map-maplet
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 7
Proof steps: 12
Used lemmas:
at-uni
,
disj-singleton-write
,
in-uni
,
Used spec theorems:
map
/
Extension
map
/
notmemlookup
Used simplifier rules:
map
/
Del-in
map
/
In-empty
map
/
In-insert
map
/
Del-at
map
/
k-At-same