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Theorem sub-add-01

⊦ i + (j - i0) = i + j - i0

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: abs-sub-02, abs-succ, absa, absls-05, absone-01, abssub-03, abssub-04, ex-le-add, k-sub-rec1, k-sub-rec2, le-sub-same, ler, minus-01, minus-02, minus-ass, minus-neg, minus-rew, minus-sub, mone-01, neg-15, negone, num-eq-shift, num-subadd, numadd, numle-01, numls-01, numsub, one-03, ple-01, sub-add-04, sub-add-05, sub-add-07, sub-add-08, sub-eq, sub-ls-02, sub-minus, sub-pred, sub-shift, sub-shift-second, sub-sub, sub-sub-01, sub-sub-02, sub-sub-04, sub-zero,
Used by units in proved state: int-mult, int-pot, int-gcd, int-div, intnat, int-square,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: sub-add, elim-sub,
Used spec theorems:
- Used simplifier rules: