Theorems · Theorem · logic and foundations
Filter.Germ.lt_def
∀ {α : Type u} {β : Type v} {φ : Ultrafilter α} [inst : Preorder β],
(fun x1 x2 => x1 < x2) = Filter.Germ.LiftRel fun x1 x2 => x1 < x2- Defined in
- Mathlib.Order.Filter.FilterProduct
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Preorder
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- Ultrafilterstatement and proof · cited by 193
- Ultrafilter.toFilterstatement and proof · cited by 172
- Filter.Germstatement and proof · cited by 102
- Filter.Germ.LiftRelstatement · cited by 5
- Filter.Germ.coe_ltproof · cited by 5
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