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Theorem notallle-notallls

⊦ ¬ all≤(x, a) → ¬ all<(x, a)

Type: A user defined theorem
Validity: The proof is valid.
Features: las, as,
Comment:
Used by: allls-allle,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 3
Used lemmas: allle-def, allls-def,
Used spec theorems:
- Used simplifier rules:
  - weakord/tord/transitivity
  - weakord/tord/irreflexivity