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Theorem append-cancel-l

⊦ ⌜x⌝ + σ0 = ⌜x⌝ + σ1 ↔ σ0 = σ1

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: append-cut1, append-from-le-01, append-to-addsize-01, append-to-gr-01, append-to-le-01, cons-to-addnum, cons-to-num, eq-stream-to-list-3-1, leq-append-both, one-inf, to-unwind-begin, to-unwind-end,
Used by units in proved state: mon-lim-filter-count,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 7
Proof steps: 10
Used lemmas: append-fininf, neq-fin-inf-01, neq-fin-inf-02, append-assoc, eq-stream-to-list-2-2,
Used spec theorems:
- Used simplifier rules: