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Theorems · Theorem · order theory

Prod.mk_wcovBy_mk_iff

∀ {α : Type u_1} {β : Type u_2} [inst : PartialOrder α] [inst_1 : PartialOrder β] {a₁ a₂ : α} {b₁ b₂ : β},
  (a₁, b₁) ⩿ (a₂, b₂) ↔ a₁ ⩿ a₂ ∧ b₁ = b₂ ∨ b₁ ⩿ b₂ ∧ a₁ = a₂
Defined in
Mathlib.Order.Cover
Cited by
1 results in Mathlib
Foundations
Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PartialOrderPartialOrder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Prod.wcovBy_iff · cited by 0Prod.wcovBy_iffPartialOrder · cited by 6410PartialOrderWCovBy · cited by 107WCovByProd.fst_eq_or_snd_eq_of_wcovBy · cited by 2Prod.fst_eq_or_snd_eq_of_…Prod.mk_wcovBy_mk_iff_left · cited by 2Prod.mk_wcovBy_mk_iff_leftProd.mk_wcovBy_mk_iff_right · cited by 1Prod.mk_wcovBy_mk_iff_rig…Prod.mk_wcovBy_mk_iffCITED BYCITES

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Cited by1

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