Theorems · Theorem · number theory
Rat.cast_strictMono
∀ {K : Type u_5} [inst : Field K] [inst_1 : LinearOrder K] [IsStrictOrderedRing K], StrictMono Rat.cast- Defined in
- Mathlib.Data.Rat.Cast.Order
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 79 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.
- LinearOrderstatement and proof · cited by 8,572
- Fieldstatement and proof · cited by 7,404
- IsStrictOrderedRingstatement and proof · cited by 2,490
- StrictMonostatement · cited by 706
- Rat.cast_subproof · cited by 9
- Rat.cast_pos_of_posproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- Rat.cast_ltproof · cited by 13
- Rat.castOrderEmbeddingproof · cited by 12
- Rat.cast_monoproof · cited by 6
- Real.exists_seq_rat_strictAnti_tendstoproof · cited by 0
- Real.exists_seq_rat_strictMono_tendstoproof · cited by 0
- ArchimedeanClass.mk_le_mk_iff_ratCastproof · cited by 0