Theorems · Theorem · combinatorics
Equiv.extendSubtype.congr_simp
∀ {α : Type u_1} {p q : α → Prop} {inst : DecidablePred p} [inst_1 : DecidablePred p] {inst_2 : DecidablePred q}
[inst_3 : DecidablePred q] [inst_4 : Finite ↑{x | p x}] (e e_1 : { x // p x } ≃ { x // q x }),
e = e_1 → e.extendSubtype = e_1.extendSubtype- Defined in
- Mathlib.Logic.Equiv.Fintype
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
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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.Permstatement · cited by 1,375
- Equiv.extendSubtypestatement and proof · cited by 7
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