Theorems · Theorem · logic and foundations
Subtype.val_injective
∀ {α : Sort u_1} {p : α → Prop}, Function.Injective Subtype.val- Defined in
- Mathlib.Data.Subtype
- Cited by
- 232 results in Mathlib
- Foundations
- Depth 8 from the axioms, rests on 11 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Subtype.coe_injectiveproof · cited by 205
Cited by232
Results whose statement or proof uses this declaration.
- Submodule.inclusion_injectiveproof · cited by 15
- IsIntegral.of_mem_of_fgproof · cited by 13
- Module.Flat.transproof · cited by 9
- isUniformEmbedding_subtype_valproof · cited by 9
- isNoetherian_submoduleproof · cited by 8
- Submodule.fg_topproof · cited by 8
- Module.Flat.lTensor_exactproof · cited by 7
- tsum_subtype_eq_of_support_subsetproof · cited by 7
- IsAlgebraic.restrictScalarsproof · cited by 6
- IsAntichain.finite_of_partiallyWellOrderedOnproof · cited by 6
- Algebra.Generators.Cotangent.exactproof · cited by 6
- Function.extend_val_applyproof · cited by 5
Showing the 200 most cited of 232.