Theorems · Theorem · order theory
FloorSemiring.natCast_strictMono
∀ {α : Type u_2} [inst : Semiring α] [inst_1 : PartialOrder α] [FloorSemiring α], StrictMono Nat.castA version of Nat.strictMono_cast for floor semirings, whose addition is not necessarily
monotone.
- Defined in
- Mathlib.Algebra.Order.Floor.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- PartialOrderstatement and proof · cited by 6,410
- StrictMonostatement · cited by 706
- Eq.leproof · cited by 605
- FloorSemiringstatement and proof · cited by 179
- LE.le.lt_of_neproof · cited by 116
- strictMono_nat_of_lt_succproof · cited by 21
- FloorSemiring.floorproof · cited by 4
- FloorSemiring.gc_floorproof · cited by 3
- FloorSemiring.natCast_monoproof · cited by 2
- FloorSemiring.natCast_nonnegproof · cited by 2
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