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Theorem subseteq-rem-del

⊦ a ∈ s0 ∧ s0 ⊆ s1 → s1 \ (s0 -- a) = (s1 \ s0) ++ a

Type: A user defined theorem
Validity: The proof is valid.
Features: simp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 9
Used lemmas: del-rax, Delete, Difference,
Used spec theorems:
- set-basic/Extension
- set-union/subdef
Used simplifier rules: