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Theorem disj-neq

⊦ disj(T1, T2) ∧ n < # T1 ∧ m < # T2 ∧ T1[n] = full(a) → T2[m] ≠ full(a)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 3
Used lemmas: disj,
Used spec theorems:
- Used simplifier rules:
  - nat-basic1/f
  - slot/disj