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Theorems · Theorem · order theory

OmegaCompletePartialOrder.ContinuousHom.Prod.apply_apply

∀ {α : Type u_2} {β : Type u_3} [inst : OmegaCompletePartialOrder α] [inst_1 : OmegaCompletePartialOrder β]
  (f : (α →𝒄 β) × α), OmegaCompletePartialOrder.ContinuousHom.Prod.apply f = f.1 f.2
Defined in
Mathlib.Order.OmegaCompletePartialOrder
Cited by
1 results in Mathlib
Foundations
Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
OmegaCompletePartialOrderOmegaCompletePartialOrder
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Around this declaration

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

OmegaCompletePartialOrder.ContinuousHom.ωSup_apply_ωSup · cited by 0ContinuousHom.ωSup_apply_…DFunLike.coe · cited by 62936DFunLike.coeOmegaCompletePartialOrder · cited by 104OmegaCompletePartialOrderOmegaCompletePartialOrder.ContinuousHom · cited by 41OmegaCompletePartialOrder…OmegaCompletePartialOrder.ContinuousHom.Prod.apply · cited by 2Prod.applyProd.apply_applyCITED BYCITES

Cites4

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Cited by1

Results whose statement or proof uses this declaration.