Theorems · Theorem · functional analysis
Unitization.unitsFstOne_val_val_fst
∀ {R : Type u_1} {A : Type u_2} [inst : CommSemiring R] [inst_1 : NonUnitalSemiring A] [inst_2 : Module R A]
[inst_3 : IsScalarTower R A A] [inst_4 : SMulCommClass R A A] (x : ↥(Unitization.unitsFstOne R A)), (↑↑x).toProd.1 = 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- IsScalarTowerstatement and proof · cited by 3,896
- Subgroupstatement · cited by 3,593
- Unitsstatement and proof · cited by 2,804
- Units.valstatement · cited by 1,966
- SMulCommClassstatement and proof · cited by 1,927
- NonUnitalSemiringstatement and proof · cited by 339
- Unitizationstatement and proof · cited by 220
- Unitization.toProdstatement · cited by 76
- Unitization.unitsFstOnestatement and proof · cited by 7
- Unitization.mem_unitsFstOneproof · cited by 2
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