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Theorem subset-put-01

⊦ st ⊆ st0[a, d] ↔ st ⊆ st0 ∧ ¬ a ∈ st ∨ a × d ∈ st ∧ st -- a ⊆ st0 -- a

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: subset-new, subset-put-04, subset-size,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 8
Proof steps: 19
Used lemmas: In-insert, At-other, in-neq, At-same, Del-at-strong, Del-in, in-pair, Subset,
Used spec theorems:
- Used simplifier rules: