definition 3.45 Injective map

open in the book · parts/02-mathematical-methods/01-logic-sets.tex:1254 · p. 31

Rests on

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

Supports

Neighborhood

Every logical edge within two steps of this node.

definition 3.45: Injective map3.45proposition 3.48: Characterization of bijectivity3.48theorem A.1: Cantor–Schröder–BernsteinA.1theorem 3.72: Cantor–Schröder–Bernstein3.72definition 3.47: Bijective map3.47definition 3.46: Surjective map3.46proposition 3.57: Composition of bijective maps3.57proof : ch:01-logic-sets@proof-7proofcorollary A.3: The continuum is the power set of the naturalsA.3proof : app:A-long-proofs@proof-1proofdefinition 3.62: Equipotence3.62proof : ch:01-logic-sets@prooflink-1proof

Edges

typedirectionnode provenancewhere
depends_on Characterization of bijectivity declared parts/02-mathematical-methods/01-logic-sets.tex:1294
depends_on Cantor–Schröder–Bernstein declared appendices/A-long-proofs.tex:1354
depends_on Cantor–Schröder–Bernstein declared parts/02-mathematical-methods/01-logic-sets.tex:1849