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Theorems · Theorem · group theory

Submonoid.coe_pos

∀ (α : Type u_1) [inst : MulZeroOneClass α] [inst_1 : PartialOrder α] [inst_2 : PosMulStrictMono α]
  [inst_3 : ZeroLEOneClass α] [inst_4 : NeZero 1], ↑(Submonoid.pos α) = Set.Ioi 0
Defined in
Mathlib.Algebra.Order.GroupWithZero.Submonoid
Cited by
0 results in Mathlib
Foundations
Depth 11 from the axioms · uses no axioms
Assumes
MulZeroOneClassPartialOrderPosMulStrictMonoZeroLEOneClassNeZero
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Set · cited by 53352SetSetLike.coe · cited by 8199SetLike.coePartialOrder · cited by 6410PartialOrderSubmonoid · cited by 3086SubmonoidSet.Ioi · cited by 1463Set.IoiZeroLEOneClass · cited by 304ZeroLEOneClassMulZeroOneClass · cited by 184MulZeroOneClassPosMulStrictMono · cited by 151PosMulStrictMonoSubmonoid.pos · cited by 3Submonoid.posSubmonoid.coe_posCITED BYCITES

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