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Theorem neq-fin-inf-03

⊦ σ0 + ⌜x⌝ = ⌜nf0⌝ ↔ σ0 = ⌜nf0⌝

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: append-eq-inf, cons-eq, cons-eq-inf, elim-fromto, finp-append-01, finp-append-02, from-append-add, neq-fin-inf-02,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 5
Used lemmas: append-finfin, append-assoc, append-inf,
Used spec theorems:
- stream-basic/disj
Used simplifier rules:
- stream-basic/inj-01
- stream-basic/disj