Mathlib Map

Theorems · Theorem · general topology

Filter.Germ.const_le_iff

∀ {α : Type u_1} {β : Type u_2} {l : Filter α} [inst : LE β] [l.NeBot] {x y : β}, ↑x ≤ ↑y ↔ x ≤ y
Defined in
Mathlib.Order.Filter.Germ.Basic
Cited by
1 results in Mathlib
Foundations
Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LEFilter.NeBot
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Hyperreal.coe_le_coe · cited by 1Hyperreal.coe_le_coeFilter · cited by 8121FilterFilter.NeBot · cited by 853Filter.NeBotFilter.Germ · cited by 102Filter.GermFilter.Germ.const · cited by 31Germ.constFilter.Germ.liftRel_const_iff · cited by 2Germ.liftRel_const_iffGerm.const_le_iffCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.