Theorems · Theorem · combinatorics
Equiv.extendSubtype_mem
∀ {α : Type u_1} {p q : α → Prop} [inst : DecidablePred p] [inst_1 : DecidablePred q] [inst_2 : Finite ↑{x | p x}]
(e : { x // p x } ≃ { x // q x }) (x : α), p x → q (e.extendSubtype x)- Defined in
- Mathlib.Logic.Equiv.Fintype
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 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 and proof · cited by 62,936
- 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.Permstatement · cited by 1,375
- Equiv.extendSubtypestatement · cited by 7
- Equiv.extendSubtype_apply_of_memproof · cited by 3
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