Structures · Algebra
CeilDiv
Typeclass for division rounded up. For each a > 0, this asserts the existence of a left
adjoint to the map b ↦ a • b : β → β.
- Defined in
- Mathlib.Algebra.Order.Floor.Div
- Shape
- 2 explicit arguments · adds ceilDiv, ceilDiv_gc, ceilDiv_nonpos, zero_ceilDiv
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
- CeilDiv.ceilDiv
- zero_ceilDiv
- ceilDiv_le_iff_le_smul
- ceilDiv_of_nonpos
- gc_smul_ceilDiv
- smul_ceilDiv
- le_smul_ceilDiv
- Finsupp.support_ceilDiv_subset
- CeilDiv.ceilDiv_gc
- CeilDiv.ceilDiv_nonpos
- CeilDiv.zero_ceilDiv
- Finsupp.ceilDiv_apply
- ceilDiv_le_iff_le_mul
- gc_mul_ceilDiv
- Pi.ceilDiv_apply
- floorDiv_le_ceilDiv
- ceilDiv_zero
- Finsupp.instCeilDiv
- Finsupp.coe_ceilDiv_def
- ceilDiv_one
- Pi.ceilDiv_def
- Pi.instCeilDiv
- Finsupp.ceilDiv_def
Ancestors0
No ancestors.