Theorems · Theorem · group theory
Equiv.Perm.support_swap_iff
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Fintype α] (x y : α), (Equiv.swap x y).support = {x, y} ↔ x ≠ y- Defined in
- Mathlib.GroupTheory.Perm.Support
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintype
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Equiv.Perm.supportstatement and proof · cited by 230
- Equiv.swapstatement and proof · cited by 197
- Finset.insert_eq_of_memproof · cited by 28
- Equiv.swap_selfproof · cited by 18
- Equiv.Perm.support_swapproof · cited by 8
- Equiv.Perm.support_reflproof · cited by 1
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