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Theorem sub-eq-01

⊦ r = r0 → r + ~ r0 = 0.r

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: double-neg, eq, eqint-neg, ex-ls-add, inv-add, mone, neg-add, neg-zero, negadd-eq, negeq, negl-ls, negladd-ls, negr-ls, negradd-ls, sub-eq,
Used by units in proved state: real-limit, real-multdiv, real-floor-ceil, real-abs,
Proof exists?: Yes

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Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas: add-comm, add-assoc, neg,
Used spec theorems:
- Used simplifier rules: