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Theorems · Theorem · order theory

UpperSet.le_erase

∀ {α : Type u_1} [inst : Preorder α] {s : UpperSet α} {a : α}, s ≤ s.erase a
Defined in
Mathlib.Order.UpperLower.Closure
Cited by
1 results in Mathlib
Foundations
Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Preorder
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Around this declaration

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

UpperSet.lt_erase · cited by 1UpperSet.lt_erasePreorder · cited by 7952PreorderUpperSet · cited by 245UpperSetSet.sdiff_subset · cited by 156Set.sdiff_subsetUpperSet.erase · cited by 9UpperSet.eraseUpperSet.le_eraseCITED BYCITES

Cites4

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Cited by1

Results whose statement or proof uses this declaration.