Theorems · Theorem · order theory
toIcoMod_add_ofNat_mul
∀ {R : Type u_1} [inst : NonAssocRing R] [inst_1 : LinearOrder R] [inst_2 : IsOrderedAddMonoid R]
[inst_3 : Archimedean R] {p : R} (hp : 0 < p) (a b : R) (m : ℕ) [inst_4 : m.AtLeastTwo],
toIcoMod hp a (b + OfNat.ofNat m * p) = toIcoMod hp a b- Defined in
- Mathlib.Algebra.Order.ToIntervalMod
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Archimedeanstatement and proof · cited by 603
- NonAssocRingstatement and proof · cited by 483
- Nat.AtLeastTwostatement and proof · cited by 405
- Int.cast_natCastproof · cited by 393
- toIcoModstatement and proof · cited by 99
- toIcoMod.congr_simpproof · cited by 25
- toIcoMod_add_intCast_mulproof · cited by 2
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