Theorems · Theorem · order theory
PrincipalSeg.irrefl
∀ {α : Type u_1} {r : α → α → Prop} [IsWellOrder α r] (f : PrincipalSeg r r), False- Defined in
- Mathlib.Order.InitialSeg
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- IsWellOrder
Around this declaration
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- IsWellOrderstatement and proof · cited by 171
- PrincipalSeg.toRelEmbeddingproof · cited by 129
- PrincipalSegstatement and proof · cited by 73
- PrincipalSeg.topproof · cited by 41
- PrincipalSeg.mem_range_of_relproof · cited by 24
- irreflproof · cited by 15
- PrincipalSeg.lt_topproof · cited by 7
- InitialSeg.eqproof · cited by 6
- InitialSeg.reflproof · cited by 2
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