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Theorem Equality
⊦ dec_i = dec_j ↔ dec_i.int = dec_j.int ∧ dec_i.scale = dec_j.scale
Type: An axiom
Validity: The proof is valid.
Features:
Comment: this axiom together with the intvalue-... and scale-... axioms precisely characterize the decimals.
Used by:
eq-same
,
equality-any
,
mkDecimal-maxScale-le
,
mkDecimal-maxScale-nle
,
mkDecimal-negated
,
mkDecimal-rec
,
mkDecimal-scale-not-neg
,
mkDecimal-selectors
,
mkDecimal-zero
,
Used by units in proved state:
decimal-complex-ops
,
Proof exists?: No