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Theorems · Theorem · order theory

Prod.fst_eq_or_snd_eq_of_wcovBy

∀ {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
Defined in
Mathlib.Order.Cover
Cited by
2 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PartialOrderPartialOrder
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Around this declaration

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

Prod.mk_wcovBy_mk_iff · cited by 1Prod.mk_wcovBy_mk_iffProd.mk_covBy_mk_iff · cited by 1Prod.mk_covBy_mk_iffPartialOrder · cited by 6410PartialOrderle_rfl · cited by 1558le_rflWCovBy · cited by 107WCovByNe.lt_of_le · cited by 27Ne.lt_of_leProd.mk_lt_mk · cited by 4Prod.mk_lt_mkProd.fst_eq_or_snd_eq_of_wcov…CITED BYCITES

Cites5

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Cited by2

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