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Theorem dist

⊦ m0 * (m + n) = m0 * m + m0 * n

Type: A user defined theorem
Validity: The proof is valid.
Features: dist-split, ls,
Comment:
Used by: coef-01, coef-02, coef-03, coef-05, dist-merge, dist-sub, dist-sub-01, dist-sub-02, dist-sub-03, dist-sub-04, eq-01, leone, ls-01, ls-07, ls-08, lssucc, lssucc-01, mod-neq, mod-neq-03, mod-neq-05, modls-03, mult-eq-succ, nonumsimp-addls-01, nonumsimp-eqsucc, nonumsimp-lstwo, nonumsimp-mod-neq, nonumsimp-succ, nonumsimp-twols, numeral-01, numeral-03, numeral-04, numeral-05, numeral-06, numeral-07, numeral-08, numeral-09, numeral-11, numeral-12, numeral-15, numeral-16, numeral-18, numeral-19, numeral-20, numeral-21, numeral-23, numeral-24, numeral-25, numeral-26, numeral-27, numeral-28, numeral-30, numeral-32, numeral-35, numeral-36, one, one-01, sqp, sqr-07, sqr-09, square-eq, square-eq-01, square-eq-03, square-even, square-even-01, square-inject, square-interval, square-le, square-le-01, square-ls, square-ls-01, square-ls-02, square-ls-04, square-ls-05, succ-merge, two-succ-06, zero-05,
Used by units in proved state: nat-prime, nat-div, nat-pair, nat-even,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 3
Used lemmas: rsucc-02, mult-c, mult-a, mult-base,
Used spec theorems:
- Used simplifier rules: