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Theorem swap-from-to

⊦ ¬ # σ < ⌜m⌝ + ⌜n⌝ → (σ from m) to n = (σ to m + n) from m

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: swap-inf-from-to, swap-to-from, swap-to-from-app,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 11
Proof steps: 21
Used lemmas: get-from, get-to, size-inf, size-inf-to, inf-size-to, to-inf, from-inf, get-finto, get-from-01, length-from, length-to, sel-fin, size-fin, to-fin, from-fin, fin-size-from, size-to, extensionality,
Used spec theorems:
- Used simplifier rules: