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Theorem abs-ite

⊦ abs(r) = (r < 0.r ⊃ ~ r;r)

Type: A user defined theorem
Validity: The proof is valid.
Features: ls,
Comment:
Used by: abs-eqall, abs-eqneg, abs-le-one-multiple, abs-ls-multiple-one, abs-ls-one-multiple, abs-ls-same, abs-not-neg, le-abs, le-same-04, le-same-05, ls-pos-02, noeth-zero-ls, square-abs, square-eq, square-eq-one, square-ge-one, square-gr-one, square-le, square-le-one, square-ls, square-ls-one,
Used by units in proved state: real-limit,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas:
Used spec theorems:
- Used simplifier rules: