definition 3.46 Surjective map

open in the book · parts/02-mathematical-methods/01-logic-sets.tex:1269 · 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 3.46: Surjective map3.46proposition 3.48: Characterization of bijectivity3.48theorem 3.71: Cantor3.71theorem 3.69: Uncountability of the continuum3.69definition 3.47: Bijective map3.47definition 3.45: Injective map3.45proposition 3.57: Composition of bijective maps3.57theorem A.1: Cantor–Schröder–BernsteinA.1proof : ch:01-logic-sets@proof-7proofaxiom 3.76: Zermelo–Fraenkel with choice3.76definition 3.41: Power set3.41equation 3.26: eq:log-noncontradiction3.26proof : ch:01-logic-sets@proof-17proofdefinition 3.65: Countable set3.65corollary 3.70: cor:inf-irrationals-uncountable3.70remark 7.94: Three numbers, two kinds7.94proof : ch:01-logic-sets@proof-15proof

Edges

typedirectionnode provenancewhere
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