definition 3.46 Surjective map

open in the book · parts/02-mathematical-methods/01-logic-sets.tex:1269 · p. 31

ground object -- no derivation owed

Rests on

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

Supports

depends_on proposition 3.48 Characterization of bijectivity ¶
- depends_on proposition 3.57 Composition of bijective maps ¶
  - depends_on proposition 3.63 prop:inf-equipotence-equivalence ¶
- depends_on theorem A.1 Cantor–Schröder–Bernstein ¶
  - depends_on corollary A.3 The continuum is the power set of the naturals ¶
depends_on theorem 3.71 Cantor ¶
depends_on theorem 3.69 Uncountability of the continuum ¶
- depends_on corollary 3.70 cor:inf-irrationals-uncountable ¶
- depends_on remark 7.94 Three numbers, two kinds ¶

Neighborhood

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declared and complete
partly declared
a check failed
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inferred from structure

Edges

type	direction	node	provenance	where
`depends_on`	←	Characterization of bijectivity	declared	parts/02-mathematical-methods/01-logic-sets.tex:1294
`depends_on`	←	Cantor	declared	parts/02-mathematical-methods/01-logic-sets.tex:1808
`depends_on`	←	Uncountability of the continuum	declared	parts/02-mathematical-methods/01-logic-sets.tex:1745