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Theorems · Theorem · order theory

BoundedLatticeHom.comp_apply

∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : Lattice α] [inst_1 : Lattice β] [inst_2 : Lattice γ]
  [inst_3 : BoundedOrder α] [inst_4 : BoundedOrder β] [inst_5 : BoundedOrder γ] (f : BoundedLatticeHom β γ)
  (g : BoundedLatticeHom α β) (a : α), (f.comp g) a = f (g a)
Defined in
Mathlib.Order.Hom.BoundedLattice
Cited by
1 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LatticeLatticeLatticeBoundedOrderBoundedOrderBoundedOrder
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Around this declaration

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

BoundedLatticeHom.cancel_left · cited by 0BoundedLatticeHom.cancel_…DFunLike.coe · cited by 62936DFunLike.coeLattice · cited by 916LatticeBoundedOrder · cited by 270BoundedOrderBoundedLatticeHom · cited by 185BoundedLatticeHomBoundedLatticeHom.comp · cited by 28BoundedLatticeHom.compBoundedLatticeHom.comp_applyCITED BYCITES

Cites5

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Cited by1

Results whose statement or proof uses this declaration.