Theorems · Theorem · general topology

ContinuousMap.abs_apply

∀ {α : Type u_1} [inst : TopologicalSpace α] {β : Type u_2} [inst_1 : TopologicalSpace β] [inst_2 : AddGroup β]
  [inst_3 : IsTopologicalAddGroup β] [inst_4 : Lattice β] [inst_5 : TopologicalLattice β] (f : C(α, β)) (x : α),
  |f| x = |f x|

Defined in

Mathlib.Topology.ContinuousMap.Lattice

Cited by

0 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceAddGroupIsTopologicalAddGroupLatticeTopologicalLattice