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Theorems · Theorem · order theory

OrderMonoidIso.trans_apply

∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : Preorder α] [inst_1 : Preorder β] [inst_2 : Preorder γ]
  [inst_3 : Mul α] [inst_4 : Mul β] [inst_5 : Mul γ] (f : α ≃*o β) (g : β ≃*o γ) (a : α), (f.trans g) a = g (f a)
Defined in
Mathlib.Algebra.Order.Hom.Monoid
Cited by
1 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Quot.sound
Assumes
PreorderPreorderPreorderMulMulMul
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

OrderMonoidIso.cancel_right · cited by 0OrderMonoidIso.cancel_rig…DFunLike.coe · cited by 62936DFunLike.coePreorder · cited by 7952PreorderOrderMonoidIso · cited by 114OrderMonoidIsoOrderMonoidIso.trans · cited by 11OrderMonoidIso.transOrderMonoidIso.trans_applyCITED BYCITES

Cites4

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Cited by1

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