Contractible

A type X 𝑋 X is contractible if there is some x : X : 𝑥 𝑋 x:X such that for every y : X : 𝑦 𝑋 y:X , x = y 𝑥 𝑦 x=y . Equivalently, X 𝑋 X is contractible if it is a Pointed H-Prop.