Theorems · Theorem · functional analysis
RCLike.ext
∀ {K : Type u_1} [inst : RCLike K] {z w : K}, RCLike.re z = RCLike.re w → RCLike.im z = RCLike.im w → z = w- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RCLike
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Realstatement · cited by 25,697
- AddMonoidHomstatement · cited by 3,230
- RCLikestatement and proof · cited by 2,829
- AddMonoid.toZerostatement · cited by 325
- RCLike.restatement and proof · cited by 319
- RCLike.imstatement and proof · cited by 161
- RCLike.ext_iffproof · cited by 13
Cited by3
Results whose statement or proof uses this declaration.
- RCLike.mul_conjproof · cited by 10
- RCLike.lt_iff_re_improof · cited by 4
- Submodule.norm_eq_iInf_iff_inner_eq_zeroproof · cited by 2