Theorems · Theorem · order theory
subsingleton_floorRing
∀ {R : Type u_4} [inst : Ring R] [inst_1 : LinearOrder R], Subsingleton (FloorRing R)There exists at most one FloorRing structure on a given linear ordered ring.
- Defined in
- Mathlib.Algebra.Order.Floor.Ring
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Quot.sound
- Assumes
- RingLinearOrder
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.
- LinearOrderstatement and proof · cited by 8,572
- Ringstatement and proof · cited by 7,463
- FloorRingstatement and proof · cited by 405
- GaloisConnectionproof · cited by 253
- GaloisConnection.l_uniqueproof · cited by 5
- FloorRing.gc_ceil_coeproof · cited by 4
- FloorRing.ceilproof · cited by 3
- GaloisConnection.u_uniqueproof · cited by 3
- FloorRing.floorproof · cited by 3
- FloorRing.gc_coe_floorproof · cited by 2
- FloorRing.casesOnproof · cited by 1
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