Theorems · Theorem · order theory
UpperSet.map_refl
∀ {α : Type u_1} [inst : Preorder α], UpperSet.map (OrderIso.refl α) = OrderIso.refl (UpperSet α)- Defined in
- Mathlib.Order.UpperLower.CompleteLattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Preorder
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLike.coeproof · cited by 8,199
- Preorderstatement and proof · cited by 7,952
- Set.extproof · cited by 2,266
- OrderIsostatement · cited by 874
- UpperSetstatement and proof · cited by 245
- UpperSet.extproof · cited by 29
- OrderIso.reflstatement · cited by 24
- OrderIso.extproof · cited by 23
- UpperSet.mapstatement · cited by 12
- Set.image_id_eqproof · cited by 6
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