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Theorem less-trans

⊦ dec < dec0 ∧ dec0 < dec1 → dec < dec1

Type: A user defined theorem
Validity: The proof is valid.
Features: forward, localforward,
Comment:
Used by: le-ls-neq, le-ls-trans, ls-le-trans,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 9
Proof steps: 15
Used lemmas: less-same,
Used spec theorems:
- decimal/mkDecimal-scale-not-neg
- decimal/mkDecimal-enlarge
Used simplifier rules: