Package monoid-comm-mult-def: Definition of commutative monoid multiplication
Information
| name | monoid-comm-mult-def |
| version | 1.1 |
| description | Definition of commutative monoid multiplication |
| author | Joe Leslie-Hurd <joe@gilith.com> |
| license | MIT |
| provenance | HOL Light theory extracted on 2013-03-12 |
| requires | monoid-mult-def |
| show | Algebra.Monoid Data.Bool Number.Natural |
Files
- Package tarball monoid-comm-mult-def-1.1.tgz
- Theory source file monoid-comm-mult-def.thy (included in the package tarball)
Theorems
⊦ ∀x. x * 0 = 0
⊦ ∀x n. x * suc n = x + x * n
External Type Operators
- →
- bool
- Algebra
- Monoid
- monoid
- Monoid
- Number
- Natural
- natural
- Natural
External Constants
- =
- Algebra
- Monoid
- *
- +
- 0
- Monoid
- Data
- Bool
- ∀
- Bool
- Number
- Natural
- suc
- zero
- Natural
Assumptions
⊦ ∀x. x * 0 = 0
⊦ ∀x n. x * suc n = x + x * n