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Theorem eq-same

⊦ mkDecimal(i, j) = mkDecimal(i0, j) ↔ i = i0

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: equality-any, test-inc-01, test-truncate-01,
Used by units in proved state: decimal-complex-ops, decimal-simple-ops,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 17
Proof steps: 36
Used lemmas: scale-neq-01, intvalue-zero, scale-zero, intvalue-rec, intvalue-base, scale-base, mkDecimal-rec, Equality,
Used spec theorems:
- nat/le-add-01
- int-div/modex
Used simplifier rules: