Theorems · Theorem · order theory
Int.ceil_sub_one
∀ {R : Type u_2} [inst : Ring R] [inst_1 : LinearOrder R] [inst_2 : FloorRing R] [IsOrderedRing R] (a : R),
⌈a - 1⌉ = ⌈a⌉ - 1- Defined in
- Mathlib.Algebra.Order.Floor.Ring
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Quot.sound
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Cites8
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
- IsOrderedRingstatement and proof · cited by 777
- FloorRingstatement and proof · cited by 405
- sub_add_cancelproof · cited by 344
- Int.ceilstatement and proof · cited by 138
- eq_sub_iff_add_eqproof · cited by 65
- Int.ceil_add_oneproof · cited by 1
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