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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, localsimp,
Comment:
Used by: coef-01, coef-02, coef-03, coef-05, dist-merge, dist-sub-03, dist-sub-04, modls-03, modp, nonumsimp-addls-01, nonumsimp-lstwo, 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, square-eq-01, square-eq-03, square-even, square-inject, square-interval, square-le-01, square-ls, square-ls-02, square-ls-05, two-succ-06,
Used by units in proved state: nat-pair, nat-div, nat-prime, nat-even,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 3
Used lemmas: rsucc-01, mult-c, mult-a, zero,
Used spec theorems:
- Used simplifier rules: