Theorems · Theorem · order theory
Nat.castOrderEmbedding_apply
∀ {α : Type u_1} [inst : AddMonoidWithOne α] [inst_1 : PartialOrder α] [inst_2 : AddLeftMono α]
[inst_3 : ZeroLEOneClass α] [inst_4 : CharZero α], ⇑Nat.castOrderEmbedding = Nat.cast- Defined in
- Mathlib.Data.Nat.Cast.Order.Basic
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- DFunLike.coestatement and proof · cited by 62,936
- PartialOrderstatement and proof · cited by 6,410
- CharZerostatement and proof · cited by 932
- AddLeftMonostatement and proof · cited by 687
- AddMonoidWithOnestatement and proof · cited by 313
- ZeroLEOneClassstatement and proof · cited by 304
- RelEmbeddingstatement · cited by 281
- Nat.castOrderEmbeddingstatement and proof · cited by 13
Cited by11
Results whose statement or proof uses this declaration.
- HahnSeries.ofPowerSeries_Xproof · cited by 5
- HahnSeries.ofPowerSeries_Cproof · cited by 3
- LaurentSeries.single_order_mul_powerSeriesPartproof · cited by 3
- Nat.image_cast_int_Iccproof · cited by 1
- HahnSeries.ofPowerSeries_apply_coeffproof · cited by 1
- Nat.image_cast_int_Icoproof · cited by 1
- PowerSeries.coeff_coeproof · cited by 1
- Nat.image_cast_int_Iciproof · cited by 0
- Nat.image_cast_int_Iocproof · cited by 0
- Nat.image_cast_int_Ioiproof · cited by 0
- Nat.image_cast_int_Iooproof · cited by 0