Theorems · Theorem · order theory
equivShrink_le_equivShrink
∀ {α : Type u_1} [inst : Small.{u, u_1} α] [inst_1 : Preorder α] {x y : α},
(equivShrink α) x ≤ (equivShrink α) y ↔ x ≤ y- Defined in
- Mathlib.Order.Shrink
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Equivstatement · cited by 8,337
- Preorderstatement and proof · cited by 7,952
- Smallstatement and proof · cited by 369
- Shrinkstatement · cited by 132
- equivShrinkstatement · cited by 118
- RelIso.map_rel_iffproof · cited by 17
- orderIsoShrinkproof · cited by 6
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