Theorems · Theorem · order theory
LTSeries.head_map
∀ {α : Type u_1} {β : Type u_2} [inst : Preorder α] [inst_1 : Preorder β] (p : LTSeries α) (f : α → β)
(hf : StrictMono f), RelSeries.head (p.map f hf) = f (RelSeries.head p)- Defined in
- Mathlib.Order.RelSeries
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Set.ofPredstatement · cited by 6,101
- StrictMonostatement and proof · cited by 706
- RelSeries.headstatement · cited by 89
- LTSeriesstatement and proof · cited by 87
- LTSeries.mapstatement · cited by 15
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