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Theorems · Theorem · order theory

Prod.wcovBy_iff

∀ {α : Type u_1} {β : Type u_2} [inst : PartialOrder α] [inst_1 : PartialOrder β] {x y : α × β},
  x ⩿ y ↔ x.1 ⩿ y.1 ∧ x.2 = y.2 ∨ x.2 ⩿ y.2 ∧ x.1 = y.1
Defined in
Mathlib.Order.Cover
Cited by
0 results in Mathlib
Foundations
Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PartialOrderPartialOrder
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PartialOrder · cited by 6410PartialOrderWCovBy · cited by 107WCovByProd.mk_wcovBy_mk_iff · cited by 1Prod.mk_wcovBy_mk_iffProd.wcovBy_iffCITED BYCITES

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