Theorems · Theorem · order theory
LTSeries.head_le
∀ {α : Type u_1} [inst : Preorder α] (x : LTSeries α) (n : Fin (x.length + 1)), RelSeries.head x ≤ x.toFun n- Defined in
- Mathlib.Order.RelSeries
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- RelSeries.lengthstatement and proof · cited by 195
- RelSeries.toFunstatement · cited by 114
- RelSeries.headstatement · cited by 89
- LTSeriesstatement and proof · cited by 87
- LTSeries.monotoneproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- LTSeries.head_le_lastproof · cited by 1