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Theorem less-size-from

⌜n⌝ < # σ ⊦ ⌜n0⌝ < #(σ from n) ↔ ⌜n0 + n⌝ < # σ

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: from-append-add, swap-to-from-app,
Used by units in proved state: mon-lim-filter-count, infinite-append,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: size-inf, from-inf, length-from, size-fin, from-fin,
Used spec theorems:
- Used simplifier rules: