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Theorem emptytream-dist-to

⊦ (σ⊥ to n) + σ⊥ to m = σ⊥ to m

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 3
Used lemmas: zerostream-size,
Used spec theorems:
- stream/buffer-inf/extensionality
- stream/buffer-inf/get-append-ls
Used simplifier rules:
- nat-basic/f
- nat-inf/inj
- nat-inf/add-comm
- nat-inf/add-assoc
- nat-inf/add-inf2
- stream/buffer-inf/size-append
- nat-inf/less-inf1
- stream/buffer-inf/size-to
- nat-inf/less-fin
- stream/buffer-inf/get-to
- buffer-inf-conv/at-emptystream
- stream/buffer-inf/get-append-notls
- nat-inf/sel
- stream/buffer-inf/append-assoc