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Theorem dist-lsplit

⊦ (i + i0) * j = i * j + i0 * j

Type: A user defined theorem
Validity: The proof is valid.
Features: dist-split,
Comment:
Used by: auxexdivmod, eq-succ-01, exdivmod, exdivmodpos, le-dist, le-dist-01, le-dist-02, ls-add-02, ls-add-03, ls-dist, ls-dist-01, ls-dist-02, ls-dist-03, ls-dist-04, ls-dist-05, ls-dist-06, ls-pos, modeqp, noeth-modlep, noeth-zero-ls, numeq, numeq-03, numeq-04, numle, numle-01, numle-02, numle-03, numle-04, numle-05, numle-06, numle-08, numle-09, numls, numls-01, numls-02, numls-03, numls-04, numls-05, numls-08, numls-09, square-eq-01, square-even, square-ex, square-inject, square-interval, square-le-04, square-ls-02, square-ls-04, square-zero-01, two-le, two-le-01, two-ls, zero-ge-add-02,
Used by units in proved state: int-pot, int-div, intnat, int-square,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: commutativity, associativity, eq-dist,
Used spec theorems:
- Used simplifier rules:
  - int-basic2/add-c
  - int-basic2/add-a