Theorems · Theorem · order theory
LTSeries.monotone
∀ {α : Type u_1} [inst : Preorder α] (x : LTSeries α), Monotone x.toFun- Defined in
- Mathlib.Order.RelSeries
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 32 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.
Cites8
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
- Monotonestatement · cited by 1,397
- RelSeries.lengthstatement · cited by 195
- StrictMono.monotoneproof · cited by 118
- RelSeries.toFunstatement · cited by 114
- LTSeriesstatement and proof · cited by 87
- LTSeries.strictMonoproof · cited by 7
Cited by5
Results whose statement or proof uses this declaration.
- Order.height_coe_withTopproof · cited by 3
- Order.height_eq_krullDim_Iicproof · cited by 2
- Module.supportDim_le_supportDim_quotSMulTop_succ_of_mem_jacobsonproof · cited by 2
- Order.height_le_of_krullDim_preimage_leproof · cited by 2
- LTSeries.head_leproof · cited by 1