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Theorem mult-gt-both

⊦ 0 ≤ i ∧ 0 ≤ j ∧ 0 ≤ i1 ∧ 0 ≤ j1 ∧ i < i1 ∧ j < j1 → i * j < i1 * j1

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 6
Used lemmas: zero-le, zero-left, numle-10, ls-pos, commutativity, associativity, ls-forward,
Used spec theorems:
- Used simplifier rules: