Theorems · Theorem · logic and foundations
Nat.Subtype.ofNat.congr_simp
∀ (s : Set ℕ) [inst : DecidablePred fun x => x ∈ s] [inst_1 : Infinite ↑s] (a a_1 : ℕ), a = a_1 → Nat.Subtype.ofNat s a = Nat.Subtype.ofNat s a_1
- Defined in
- Mathlib.Logic.Denumerable
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidablePredInfinite
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Cites4
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- Setstatement and proof · cited by 53,352
- Set.Elemstatement and proof · cited by 7,166
- Infinitestatement and proof · cited by 352
- Nat.Subtype.ofNatstatement and proof · cited by 9
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