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Theorems · Theorem · combinatorics

Equiv.toCompl.congr_simp

∀ {α : Type u_1} {p q : α → Prop} [inst : Finite ↑{x | p x}] (e e_1 : ↑{x | p x} ≃ ↑{x | q x}),
  e = e_1 → e.toCompl = e_1.toCompl
Defined in
Mathlib.Logic.Equiv.Fintype
Cited by
0 results in Mathlib
Foundations
Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Finite

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Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Equivstatement and proof · cited by 8,337
  • Set.Elemstatement and proof · cited by 7,166
  • Set.ofPredstatement and proof · cited by 6,101
  • Finitestatement and proof · cited by 3,029
  • Equiv.toComplstatement and proof · cited by 4

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