Homotopy Type Theory antitonic function > history (Rev #2)

Contents

Definition

Let AA and BB be preorders. An antitonic function is a function f:ABf : A \to B with a family of dependent terms

ϕ(a,b):(ab)(f(b)f(a))\phi(a,b):(a \leq b) \to (f(b) \leq f(a))

showing that the preorder is reversed by ff.

See also

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