Theorems · Theorem · order theory
LTSeries.map_length
∀ {α : Type u_1} {β : Type u_2} [inst : Preorder α] [inst_1 : Preorder β] (p : LTSeries α) (f : α → β)
(hf : StrictMono f), (p.map f hf).length = p.length- Defined in
- Mathlib.Order.RelSeries
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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.lengthstatement and proof · cited by 195
- LTSeriesstatement and proof · cited by 87
- LTSeries.mapstatement and proof · cited by 15
Cited by7
Results whose statement or proof uses this declaration.
- Order.height_coe_withTopproof · cited by 3
- ringKrullDim_quotient_succ_le_of_nonZeroDivisorproof · cited by 3
- Order.height_eq_krullDim_Iicproof · cited by 2
- Order.height_le_height_apply_of_strictMonoproof · cited by 2
- Module.supportDim_quotSMulTop_succ_le_of_notMem_minimalPrimesproof · cited by 1
- Order.height_coe_withBotproof · cited by 1
- Ideal.height_eq_height_add_of_liesOver_of_hasGoingDownproof · cited by 1