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Theorem subrec

⊦ a ' + x ⊆m y ↔ ¬ ¬(a ∈ y ∧ x ⊆m y -1l a)

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp,
Comment:
Used by: del, subapp, subapp-01, subrec-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 18
Used lemmas: one-01, del1-01, del1, in-05, oc-zero, notin, one, ocappend, msubset,
Used spec theorems:
- Used simplifier rules: