definition 3.36 Disjoint sets

open in the book · parts/02-mathematical-methods/01-logic-sets.tex:1016 · p. 29

Rests on

No declared or derived dependency edges point away from this node yet.

depends_on definition 6.13 Connected space ¶
- depends_on proposition 6.16 prop:top-path-implies-connected ¶
- depends_on theorem 10.77 Strong maximum principle for harmonic functions ¶
- depends_on theorem 6.14 Intervals are connected ¶
  - depends_on proposition 6.16 prop:top-path-implies-connected ¶ ↺
depends_on theorem 3.60 Equivalence classes partition the set ¶
- depends_on lemma A.10 lem:app-comp-welldefined ¶
  - depends_on lemma A.11 Truth lemma ¶
    - depends_on theorem A.12 Model existence ¶
      - depends_on corollary A.14 Compactness ¶
      - depends_on theorem A.13 Completeness ¶

Every logical edge within two steps of this node.

type	direction	node	provenance	where
`depends_on`	←	Connected space	declared	parts/02-mathematical-methods/04-topology.tex:224
`depends_on`	←	Equivalence classes partition the set	declared	parts/02-mathematical-methods/01-logic-sets.tex:1563