Theorems · Theorem · order theory
Antisymmetrization.induction_on
∀ {α : Type u_1} (r : α → α → Prop) [inst : IsPreorder α r] {p : Antisymmetrization α r → Prop}
(a : Antisymmetrization α r), (∀ (a : α), p (toAntisymmetrization r a)) → p a- Defined in
- Mathlib.Order.Antisymmetrization
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- Assumes
- IsPreorder
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quotient.inductionOn'proof · cited by 69
- Antisymmetrizationstatement and proof · cited by 25
- IsPreorderstatement and proof · cited by 20
- toAntisymmetrizationstatement and proof · cited by 12
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