Theorems · Theorem · order theory
Even.tsub
∀ {α : Type u_1} [inst : AddCommMonoid α] [inst_1 : LinearOrder α] [CanonicallyOrderedAdd α] [inst_3 : Sub α]
[OrderedSub α] [AddLeftReflectLE α] {m n : α}, Even m → Even n → Even (m - n)- Defined in
- Mathlib.Algebra.Order.Sub.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- LinearOrderstatement and proof · cited by 8,572
- add_zeroproof · cited by 2,707
- add_le_addproof · cited by 666
- Evenstatement and proof · cited by 444
- le_totalproof · cited by 294
- OrderedSubstatement and proof · cited by 236
- CanonicallyOrderedAddstatement and proof · cited by 229
- AddLeftReflectLEstatement and proof · cited by 119
- tsub_eq_zero_of_leproof · cited by 26
- tsub_add_tsub_commproof · cited by 2
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