Theorems · Theorem · order theory
Int.comap_cast_atBot
∀ {R : Type u_2} [inst : Ring R] [inst_1 : PartialOrder R] [IsStrictOrderedRing R] [Archimedean R],
Filter.comap Int.cast Filter.atBot = Filter.atBot- Cited by
- 2 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement · cited by 8,121
- Ringstatement and proof · cited by 7,463
- PartialOrderstatement and proof · cited by 6,410
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Archimedeanstatement and proof · cited by 603
- Filter.comapstatement · cited by 546
- Filter.atBotstatement · cited by 512
- Int.cast_natCastproof · cited by 393
- Int.cast_negproof · cited by 224
- Int.cast_leproof · cited by 28
- exists_nat_geproof · cited by 20
- Filter.comap_embedding_atBotproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- tendsto_intCast_atBot_iffproof · cited by 0
- Filter.Eventually.intCast_atBotproof · cited by 0