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Theorems · Theorem · order theory

UpperSet.erase_idem

∀ {α : Type u_1} [inst : Preorder α] (s : UpperSet α) (a : α), (s.erase a).erase a = s.erase a
Defined in
Mathlib.Order.UpperLower.Closure
Cited by
0 results in Mathlib
Foundations
Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Preorder
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Preorder · cited by 7952PreorderSetLike.coe_injective · cited by 374SetLike.coe_injectiveUpperSet · cited by 245UpperSetsdiff_idem · cited by 12sdiff_idemUpperSet.erase · cited by 9UpperSet.eraseUpperSet.erase_idemCITED BYCITES

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