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Theorems · Theorem · order theory

Prod.mk_wcovBy_mk_iff_left

∀ {α : Type u_1} {β : Type u_2} [inst : PartialOrder α] [inst_1 : PartialOrder β] {a₁ a₂ : α} {b : β},
  (a₁, b) ⩿ (a₂, b) ↔ a₁ ⩿ a₂
Defined in
Mathlib.Order.Cover
Cited by
2 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext
Assumes
PartialOrderPartialOrder
Mathlib docsSourceLoogleLeanSearch

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_wcovBy_mk_iff_right · cited by 1Prod.mk_wcovBy_mk_iff_rig…PartialOrder · cited by 6410PartialOrderLT.lt.le · cited by 2189lt.leLE.le.antisymm · cited by 507le.antisymmWCovBy · cited by 107WCovByProd.mk.eta · cited by 84mk.etaProd.mk_le_mk_iff_left · cited by 4Prod.mk_le_mk_iff_leftProd.mk_lt_mk_iff_left · cited by 2Prod.mk_lt_mk_iff_leftWCovBy.fst · cited by 1WCovBy.fstProd.mk_wcovBy_mk_iff_leftCITED BYCITES

Cites8

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Cited by2

Results whose statement or proof uses this declaration.