Theorems · Theorem · order theory
toIcoDiv_zero_one
∀ {α : Type u_1} [inst : Field α] [inst_1 : LinearOrder α] [inst_2 : IsStrictOrderedRing α] [inst_3 : FloorRing α]
(b : α), toIcoDiv ⋯ 0 b = ⌊b⌋- Defined in
- Mathlib.Algebra.Order.ToIntervalMod
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- sub_zeroproof · cited by 938
- div_oneproof · cited by 629
- FloorRingstatement and proof · cited by 405
- Int.floorstatement and proof · cited by 225
- toIcoDivstatement · cited by 84
- zero_lt_one'statement and proof · cited by 16
- toIcoDiv_eq_floorproof · cited by 2
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