AddSubmonoid.mem_iSup_prop

∀ {M : Type u_1} [inst : AddZeroClass M] {p : Prop} {S : p → AddSubmonoid M} {x : M},
  x ∈ ⨆ (h : p), S h ↔ x = 0 ∨ ∃ (h : p), x ∈ S h

Defined in: Mathlib.Algebra.Group.Submonoid.Membership
Cited by: 0 results in Mathlib
Foundations: Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: AddZeroClass

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