Theorems · Theorem · order theory
Archimedean.embedReal_one
∀ {M : Type u_1} [inst : AddCommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedAddMonoid M] [inst_3 : One M]
[inst_4 : ZeroLEOneClass M] [inst_5 : NeZero 1] [inst_6 : Archimedean M], (Archimedean.embedReal M) 1 = 1- Defined in
- Mathlib.Data.Real.Embedding
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites26
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 and proof · cited by 25,697
- AddCommGroupstatement and proof · cited by 12,871
- LinearOrderstatement and proof · cited by 8,572
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- LT.lt.leproof · cited by 2,189
- le_antisymmproof · cited by 2,068
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Archimedeanstatement and proof · cited by 603
- zero_lt_oneproof · cited by 598
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