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Theorem at-le-lt

⊦ key0 < key1 ∧ key0 ∈ ri → (ri |≤ key1)[key0] = ri[key0]

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: restrict-le2,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas: at-le,
Used spec theorems:
- Used simplifier rules:
  - oelem/key-order/transitivity
  - oelem/key-order/irreflexivity