Theorems · Theorem · order theory
Pi.exists_forall_eq_of_wcovBy
∀ {ι : Type u_3} {α : ι → Type u_4} [inst : (i : ι) → PartialOrder (α i)] {a b : (i : ι) → α i} [Nonempty ι],
a ⩿ b → ∃ i, ∀ (j : ι), j ≠ i → a j = b j- Defined in
- Mathlib.Order.Cover
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderNonempty
Around this declaration
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- WCovBystatement and proof · cited by 107
- AntisymmRelproof · cited by 93
- Pi.exists_forall_antisymmRel_of_wcovByproof · cited by 3
- AntisymmRel.eqproof · cited by 2
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