Theorems · Theorem · order theory
LTSeries.strictMono
∀ {α : Type u_1} [inst : Preorder α] (x : LTSeries α), StrictMono x.toFun- Defined in
- Mathlib.Order.RelSeries
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 31 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
- StrictMonostatement · cited by 706
- RelSeries.lengthstatement and proof · cited by 195
- RelSeries.toFunstatement · cited by 114
- LTSeriesstatement and proof · cited by 87
- RelSeries.rel_of_ltproof · cited by 3
Cited by7
Results whose statement or proof uses this declaration.
- LTSeries.monotoneproof · cited by 5
- Order.height_eq_krullDim_Iicproof · cited by 2
- Order.coe_lt_height_iffproof · cited by 2
- Module.supportDim_le_supportDim_quotSMulTop_succ_of_mem_jacobsonproof · cited by 2
- Order.height_coe_withBotproof · cited by 1
- PrimeSpectrum.exist_ltSeries_mem_one_of_mem_lastproof · cited by 1
- LTSeries.length_lt_cardproof · cited by 0