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Theorem conttr-rel-thm

⊦ pcont(lift(trlp))(βf) ∧ mon(⌜λ n. ⌜slf(n)⌝ ⌝ ) ∧ mon(⌜λ n. ⌜alf(n)⌝ ⌝ ) ∧ (∀ n. trlp(slf(n), alf(n))) ∧ lift(trlp)(lim(⌜λ n. ⌜slf(n)⌝ ⌝ ), lim(⌜λ n. ⌜alf(n)⌝ ⌝ )) ∧ pfxclosed(trlp) ∧ (∀ n. # slf(n) = # alf(n) + 1) → lim(⌜λ n. βf(⌜slf(n)⌝ , ⌜alf(n)⌝ )⌝ ) = βf(lim(⌜λ n. ⌜slf(n)⌝ ⌝ ), lim(⌜λ n. ⌜alf(n)⌝ ⌝ ))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 18
Proof steps: 39
Used lemmas: lift-trp-inf, pdfclosedtrl-def, pdfclosedtr-def, lift-trp-fin, conttr-relative-thm, montr-relative-def, conttr-relative-def,
Used spec theorems:
- stream/prefix-def
Used simplifier rules: