Structures · Algebra
FloorDiv
Typeclass for division rounded down. For each a > 0, this asserts the existence of a right
adjoint to the map b ↦ a • b : β → β.
- Defined in
- Mathlib.Algebra.Order.Floor.Div
- Shape
- 2 explicit arguments · adds floorDiv, floorDiv_gc, floorDiv_nonpos, zero_floorDiv
Extends0
Extends nothing: this is a root of the hierarchy.
Extended by0
Nothing extends this class yet.
Concrete types that are instances1
- Nat
How is a type an instance?
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Assumed by23
- FloorDiv.floorDiv
- zero_floorDiv
- floorDiv_of_nonpos
- le_floorDiv_iff_smul_le
- gc_floorDiv_smul
- smul_floorDiv_le
- FloorDiv.floorDiv_nonpos
- FloorDiv.zero_floorDiv
- smul_floorDiv
- FloorDiv.floorDiv_gc
- Finsupp.support_floorDiv_subset
- gc_floorDiv_mul
- floorDiv_zero
- Finsupp.floorDiv_def
- Finsupp.instFloorDiv
- Pi.floorDiv_apply
- le_floorDiv_iff_mul_le
- floorDiv_one
- floorDiv_le_ceilDiv
- Pi.instFloorDiv
- Pi.floorDiv_def
- Finsupp.coe_floorDiv
- Finsupp.floorDiv_apply
Ancestors0
No ancestors.