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Theorem diff-at

r ∈ h0, ¬ r ∈ h1 ⊦ (h0 \ h1)(r) = h0(r)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: disj-diff-id1, disj-diff-id2, subset-uni, union-diff-distr, union-split2,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 12
Used lemmas: diff-put, diff-emp,
Used spec theorems:
Used simplifier rules: