Theorems · Theorem · order theory
OrderIso.addLeft_apply
∀ {α : Type u} [inst : AddGroup α] [inst_1 : LE α] [inst_2 : AddLeftMono α] (a x : α), (OrderIso.addLeft a) x = a + x- Defined in
- Mathlib.Algebra.Order.Group.OrderIso
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroupLEAddLeftMono
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddGroupstatement and proof · cited by 4,410
- AddLeftMonostatement and proof · cited by 687
- RelIsostatement · cited by 456
- OrderIso.addLeftstatement and proof · cited by 18
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