Theorems · Theorem · order theory

OrderRingIso.trans_apply

∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : Mul α] [inst_1 : Add α] [inst_2 : LE α] [inst_3 : Mul β]
  [inst_4 : Add β] [inst_5 : LE β] [inst_6 : Mul γ] [inst_7 : Add γ] [inst_8 : LE γ] (f : α ≃+*o β) (g : β ≃+*o γ)
  (a : α), (f.trans g) a = g (f a)

Defined in: Mathlib.Algebra.Order.Hom.Ring
Cited by: 0 results in Mathlib
Foundations: Depth 22 from the axioms · uses Quot.sound
Assumes: Mul Add LE Mul Add LE Mul Add LE

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DFunLike.coestatement · cited by 62,936
OrderRingIsostatement and proof · cited by 43
OrderRingIso.transstatement · cited by 5

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