Structures · Algebra
LinearOrderedCommMonoidWithZero
A linearly ordered commutative monoid with a zero element.
- Shape
- One type argument
Extends5
Extended by1
Concrete types that are instances5
- Nat
- Subtype
- Set.Elem
- Multiplicative
- WithZero
How is a type an instance?
Loading the hierarchy index…
Assumed by163
- Valuation.IsEquiv
- Valuation.map_one
- Valuation.map_add
- Valuation.toMonoidWithZeroHom
- Valuation.comap
- Valuation.map_mul
- Valuation.ne_zero_iff
- Valuation.supp
- Valuation.IsEquiv.eq_zero
- Valuation.map_zero
- Valuation.map_neg
- Valuation.zero_iff
- Valuation.map_sub_swap
- Valuation.IsEquiv.symm
- Valuation.map_eq_of_sub_lt
- Valuation.IsEquiv.eq_iff
- ValuativeRel.isEquiv
- Valuation.map_add_eq_of_lt_left
- Valuation.IsEquiv.eq_one_iff_eq_one
- Valuation.HasExtension.val_map_le_iff
- Valuation.pos_iff
- Valuation.ofAddValuation
- Valuation.toAddValuation
- Valuation.onQuot
- Valuation.map_pow
- Valuation.map_add_lt
- Valuation.map_sum_lt
- Valuation.IsEquiv.refl
- Valuation.IsEquiv.ofClass_eq_zero
- Valuation.map
- Valuation.IsEquiv.lt_iff_lt
- Valuation.map_add_of_distinct_val
- Valuation.map_add_le_max'
- Valuation.one_apply_of_ne_zero
- Valuation.vle_iff_le
- Valuation.map_add_le
- Valuation.map_sub
- Valuation.IsEquiv.trans
- Valuation.mem_supp_iff
- Valuation.map_one_add_of_lt
- Valuation.IsEquiv.le_one_iff_le_one
- Valuation.map_add_eq_of_lt_right
- Valuation.supp_quot
- Valuation.comap_supp
- Valuation.map_sub_eq_of_lt_left
- Valuation.map_sum_le
- Valuation.one_apply_def
- Valuation.vlt_iff_lt
- Valuation.self_le_supp_comap
- Valuation.IsEquiv.lt_one_iff_lt_one
Ancestors46
- Bot
- CommMagma
- CommMonoid
- CommMonoidWithZero
- CommSemigroup
- DistribLattice
- Dvd
- GradeBoundedOrder
- GradeMaxOrder
- GradeMinOrder
- GradeOrder
- HMul
- HSMul
- IsBotZeroClass
- LE
- LT
- Lattice
- LinearOrder
- Max
- Min
- Monoid
- MonoidWithZero
- Mul
- MulAction
- MulOne
- MulOneClass
- MulZeroClass
- MulZeroOneClass
- NPow
- NSMul
- Nonempty
- OfNat
- One
- Ord
- OrderBot
- PartialOrder
- PosMulStrictMono
- Preorder
- SMul
- Semigroup
- SemigroupAction
- SemigroupWithZero
- SemilatticeInf
- SemilatticeSup
- ZSMul
- Zero