Theorems · Theorem · commutative algebra
FreeCommRing.map_subtype_val_restriction
∀ {α : Type u} {x : FreeCommRing α} (s : Set α) [inst : DecidablePred fun x => x ∈ s],
x.IsSupported s → (FreeCommRing.map Subtype.val) ((FreeCommRing.restriction s) x) = x- Defined in
- Mathlib.RingTheory.FreeCommRing
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidablePred
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Cites17
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
- Setstatement and proof · cited by 53,352
- RingHomstatement · cited by 10,189
- Set.Elemstatement and proof · cited by 7,166
- Set.imageproof · cited by 5,609
- map_mulproof · cited by 1,137
- map_addproof · cited by 964
- map_oneproof · cited by 861
- map_negproof · cited by 378
- FreeCommRingstatement and proof · cited by 43
- FreeCommRing.ofproof · cited by 34
- FreeCommRing.IsSupportedstatement and proof · cited by 12
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